What is (9c^{-7}d^2)^{-2} ?

The solution to (9c^{-7}d^2)^{-2} is (c^{14})/(81d^4)

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simplify (9c^{-7}d^2)^{-2}

simplify

(9 c^{- 7} d^{2})^{- 2}

\frac{c ^{14}}{81 d ^{4}}

Solution steps

(9 c^{- 7} d^{2})^{- 2}

Apply exponent rule:

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

(9 c^{- 7} d^{2})^{- 2} = \frac{1}{( 9 c ^{- 7} d ^{2} ) ^{2}}

= \frac{1}{( 9 c ^{- 7} d ^{2} ) ^{2}}

Simplify

(9 c^{- 7} d^{2})^{2} : \frac{81 d ^{4}}{c ^{14}}

= \frac{1}{\frac{81 d ^{4}}{c ^{14}}}

Apply the fraction rule:

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

= \frac{c ^{14}}{81 d ^{4}}

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What is (9c^{-7}d^2)^{-2} ?
The solution to (9c^{-7}d^2)^{-2} is (c^{14})/(81d^4)