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How do you simplify #\frac { ( 2x y ^ { 4} ) ^ { 3} } { 2x y ^ { 5} \cdot y x ^ { 5} }#?

Answer 1

Cameron Arnold

#(2xy^4)^3/(2xy^5*yx^5)=(4y^6)/x^3#

#(2xy^4)^3/(2xy^5*yx^5)#

= #(2^3xx x^3(y^4)^3)/(2x^(1+5)y^(5+1))#

= #(8x^3y^12)/(2x^6y^6)#

= #(cancel8^4y^(12-6))/(cancel2x^(6-3))#

= #(4y^6)/x^3#

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Answer 2

Emery Allen

To simplify ( \frac{{(2xy^4)^3}}{{2xy^5 \cdot yx^5}} ), first, apply the exponent rule by raising each term within the parentheses to the power of 3. Then, simplify the denominator by combining like terms and dividing the coefficients and variables accordingly.

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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.