How do you simplify #(\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}#?

Answer 1

#(5^8x^56y^16)/7^8#

#((5x^3y^3)/(7x^-4y))^8#
#=((5^8x^24y^24)/(7^8x^-32y^8))#

Subtract the indices of like bases to simplify:

# = (5^8 x^(24+32) y^(24-8))/7^8#
#= (5^8x^56y^16)/7^8#
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Answer 2

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[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3}To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } {To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7xTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7xTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ {To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { -To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}yTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4}To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y }To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} \To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } )To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

ThenTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ {To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then,To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplifyTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each partTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(=To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\fracTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac {To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5xTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 xTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ {To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 =To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \timesTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8}To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} yTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdotTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ {To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \timesTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8}To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdotTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (yTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 xTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ {To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(=To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 xTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot yTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ {To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 \To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} yTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

FinallyTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally,To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ {To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply theTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the powerTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power ruleTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24}To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule forTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } {To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponentsTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 xTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdotTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ {To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (xTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32}To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} yTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 }To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now,To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (yTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply theTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotientTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient ruleTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule forTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 =To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponentsTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents byTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtractTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdotTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot xTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents ofTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x andTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y inTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in theTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \timesTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numeratorTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator fromTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8}To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from theTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdotTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponentsTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot yTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents ofTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x andTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and yTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \timesTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y inTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in theTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8}To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} \To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ {To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdotTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24}To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} yTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdotTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ {To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 =To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24}To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} }To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } {To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdotTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot xTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 xTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ {To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \timesTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32}To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot yTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 }To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify theTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(=To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponentsTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 }To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } xTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdotTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot xTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ {To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24}To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 -To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdotTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32)To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot yTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) }To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } yTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24}To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ {To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 -To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot xTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 }To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } \To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32}To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(=To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdotTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot yTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \fracTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac {To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 \To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 ]

To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5^To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 ]

NowTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5^8 }To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 ]

Now, writeTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5^8 } { To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 ]

Now, write theTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5^8 } { 7To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 ]

Now, write the final answer:

To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5^8 } { 7^To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 ]

Now, write the final answer:

[ \frac{To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5^8 } { 7^8To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 ]

Now, write the final answer:

[ \frac{5To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5^8 } { 7^8 }To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 ]

Now, write the final answer:

[ \frac{5^To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5^8 } { 7^8 } xTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 ]

Now, write the final answer:

[ \frac{5^8To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5^8 } { 7^8 } x ^To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 ]

Now, write the final answer:

[ \frac{5^8 \To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5^8 } { 7^8 } x ^ {To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 ]

Now, write the final answer:

[ \frac{5^8 \cdotTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 ]

Now, write the final answer:

[ \frac{5^8 \cdot xTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 56To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 ]

Now, write the final answer:

[ \frac{5^8 \cdot x^{24To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 56 }To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 ]

Now, write the final answer:

[ \frac{5^8 \cdot x^{24} \To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 56 } yTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 ]

Now, write the final answer:

[ \frac{5^8 \cdot x^{24} \cdot yTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 56 } y ^To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 ]

Now, write the final answer:

[ \frac{5^8 \cdot x^{24} \cdot y^{24}}To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 56 } y ^ {To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 ]

Now, write the final answer:

[ \frac{5^8 \cdot x^{24} \cdot y^{24}}{7To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 56 } y ^ { 16To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 ]

Now, write the final answer:

[ \frac{5^8 \cdot x^{24} \cdot y^{24}}{7^To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 56 } y ^ { 16 }To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 ]

Now, write the final answer:

[ \frac{5^8 \cdot x^{24} \cdot y^{24}}{7^8 \To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 56 } y ^ { 16 } \To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 ]

Now, write the final answer:

[ \frac{5^8 \cdot x^{24} \cdot y^{24}}{7^8 \cdotTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 56 } y ^ { 16 } )

To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 ]

Now, write the final answer:

[ \frac{5^8 \cdot x^{24} \cdot y^{24}}{7^8 \cdot xTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 56 } y ^ { 16 } )

SoTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 ]

Now, write the final answer:

[ \frac{5^8 \cdot x^{24} \cdot y^{24}}{7^8 \cdot x^{-To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 56 } y ^ { 16 } )

So, theTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 ]

Now, write the final answer:

[ \frac{5^8 \cdot x^{24} \cdot y^{24}}{7^8 \cdot x^{-32}To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 56 } y ^ { 16 } )

So, the simplifiedTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 ]

Now, write the final answer:

[ \frac{5^8 \cdot x^{24} \cdot y^{24}}{7^8 \cdot x^{-32} \cdot yTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 56 } y ^ { 16 } )

So, the simplified expression isTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 ]

Now, write the final answer:

[ \frac{5^8 \cdot x^{24} \cdot y^{24}}{7^8 \cdot x^{-32} \cdot y^8To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 56 } y ^ { 16 } )

So, the simplified expression is \To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 ]

Now, write the final answer:

[ \frac{5^8 \cdot x^{24} \cdot y^{24}}{7^8 \cdot x^{-32} \cdot y^8} \To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 56 } y ^ { 16 } )

So, the simplified expression is (\To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 ]

Now, write the final answer:

[ \frac{5^8 \cdot x^{24} \cdot y^{24}}{7^8 \cdot x^{-32} \cdot y^8} ]

This isTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 56 } y ^ { 16 } )

So, the simplified expression is (\fracTo simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 ]

Now, write the final answer:

[ \frac{5^8 \cdot x^{24} \cdot y^{24}}{7^8 \cdot x^{-32} \cdot y^8} ]

This is theTo simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 56 } y ^ { 16 } )

So, the simplified expression is (\frac {To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 ]

Now, write the final answer:

[ \frac{5^8 \cdot x^{24} \cdot y^{24}}{7^8 \cdot x^{-32} \cdot y^8} ]

This is the simplified expression.To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 56 } y ^ { 16 } )

So, the simplified expression is (\frac { To simplify the expression ( \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 ), apply the power of a quotient rule, which states that ( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} ). Applying this rule:

[ \left( \frac{5x^3y^3}{7x^{-4}y} \right)^8 = \frac{(5x^3y^3)^8}{(7x^{-4}y)^8} ]

Then, simplify each part:

[ (5x^3y^3)^8 = 5^8 \cdot (x^3)^8 \cdot (y^3)^8 ] [ (7x^{-4}y)^8 = 7^8 \cdot (x^{-4})^8 \cdot y^8 ]

Finally, apply the power rule for exponents:

[ 5^8 \cdot (x^3)^8 \cdot (y^3)^8 = 5^8 \cdot x^{3 \times 8} \cdot y^{3 \times 8} ] [ 7^8 \cdot (x^{-4})^8 \cdot y^8 = 7^8 \cdot x^{-4 \times 8} \cdot y^8 ]

Simplify the exponents:

[ 5^8 \cdot x^{24} \cdot y^{24} ] [ 7^8 \cdot x^{-32} \cdot y^8 ]

Now, write the final answer:

[ \frac{5^8 \cdot x^{24} \cdot y^{24}}{7^8 \cdot x^{-32} \cdot y^8} ]

This is the simplified expression.To simplify the expression ((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}), you can use the properties of exponents. First, apply the power rule for exponents by multiplying the exponents inside the parentheses by 8. Then, simplify the expression by combining like terms.

((\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8})

(= (\frac { 5^8 x ^ { 3 \times 8} y ^ { 3 \times 8} } { 7^8 x ^ { - 4 \times 8} y ^ 8 } ))

(= (\frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } ))

Now, apply the quotient rule for exponents by subtracting the exponents of x and y in the numerator from the exponents of x and y in the denominator.

(= \frac { 5^8 x ^ { 24} y ^ { 24} } { 7^8 x ^ { -32} y ^ 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 24 - (-32) } y ^ { 24 - 8 } )

(= \frac { 5^8 } { 7^8 } x ^ { 56 } y ^ { 16 } )

So, the simplified expression is (\frac { 5^8 } { 7^8 } x ^ { 56 } y ^ { 16 }).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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