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How do you use the laws of exponents to simplify the expression # (-mn^8)^3#?

Answer 1

Exponents outside of parentheses act upon all variables inside, multiplying their exponent to the exponents of the variables inside, according to the property of exponents.

This means that #(x^2)^3# will simplify to #x^6#. Your equation will simplify to #-m^3n^24#

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Answer 2

Eli Assouline

-(m^3)(n^24)

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Answer 3

Eva Abramson

To simplify the expression ((-mn^8)^3), you apply the power rule of exponents, which states that when you raise a power to another power, you multiply the exponents. So, in this case, you would multiply the exponent 3 by each exponent inside the parentheses. This gives:

((-mn^8)^3 = -m^3n^{8 \times 3} = -m^3n^{24})

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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.