What is ((x^8)/(xy^5))^{-2} ?

The solution to ((x^8)/(xy^5))^{-2} is (y^{10})/(x^{14)}

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simplify ((x^8)/(xy^5))^{-2}

simplify

(\frac{x ^{8}}{x y ^{5}})^{- 2}

\frac{y ^{10}}{x ^{14}}

Solution steps

(\frac{x ^{8}}{x y ^{5}})^{- 2}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

(\frac{x ^{8}}{x y ^{5}})^{- 2} = \frac{1}{( \frac{x ^{8}}{x y ^{5}} ) ^{2}}

= \frac{1}{( \frac{x ^{8}}{x y ^{5}} ) ^{2}}

Simplify

(\frac{x ^{8}}{x y ^{5}})^{2} : \frac{x ^{14}}{y ^{10}}

= \frac{1}{\frac{x ^{14}}{y ^{10}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{y ^{10}}{x ^{14}}

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What is ((x^8)/(xy^5))^{-2} ?
The solution to ((x^8)/(xy^5))^{-2} is (y^{10})/(x^{14)}