What is (((c^4d))/(c^{-2)})^{-4} ?

The solution to (((c^4d))/(c^{-2)})^{-4} is 1/(c^{24)d^4}

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simplify (((c^4d))/(c^{-2)})^{-4}

simplify

(\frac{( c ^{4} d )}{c ^{- 2}})^{- 4}

\frac{1}{c ^{24} d ^{4}}

Solution steps

(\frac{c ^{4} d}{c ^{- 2}})^{- 4}

Apply exponent rule:

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

(\frac{c ^{4} d}{c ^{- 2}})^{- 4} = \frac{1}{( \frac{c ^{4} d}{c ^{- 2}} ) ^{4}}

= \frac{1}{( \frac{c ^{4} d}{c ^{- 2}} ) ^{4}}

Simplify

(\frac{c ^{4} d}{c ^{- 2}})^{4} : c^{24} d^{4}

= \frac{1}{c ^{24} d ^{4}}

36 \cdot 3 \frac{1}{4}

8.99 \cdot 1 0^{9}

(x - 5 y) (x + 5 y)

(- 4 - 3 i) \cdot (5 - 7 i)

What is (((c^4d))/(c^{-2)})^{-4} ?
The solution to (((c^4d))/(c^{-2)})^{-4} is 1/(c^{24)d^4}