What is (9x^{-2})^{-5} ?

The solution to (9x^{-2})^{-5} is (x^{10})/(59049)

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simplify (9x^{-2})^{-5}

simplify

(9 x^{- 2})^{- 5}

\frac{x ^{10}}{59049}

Solution steps

(9 x^{- 2})^{- 5}

Apply exponent rule:

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

(9 x^{- 2})^{- 5} = \frac{1}{( 9 x ^{- 2} ) ^{5}}

= \frac{1}{( 9 x ^{- 2} ) ^{5}}

Simplify

(9 x^{- 2})^{5} : \frac{59049}{x ^{10}}

= \frac{1}{\frac{59049}{x ^{10}}}

Apply the fraction rule:

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

= \frac{x ^{10}}{59049}

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