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Popular >

simplify (-4/(x^4))^{-3}

Solution

simplify

(- \frac{4}{x ^{4}})^{- 3}

Solution

- \frac{x ^{12}}{64}

Solution steps

(- \frac{4}{x ^{4}})^{- 3}

Apply exponent rule:

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

(- \frac{4}{x ^{4}})^{- 3} = \frac{1}{( - \frac{4}{x ^{4}} ) ^{3}}

= \frac{1}{( - \frac{4}{x ^{4}} ) ^{3}}

Simplify

(- \frac{4}{x ^{4}})^{3} : - \frac{64}{x ^{12}}

= \frac{1}{- \frac{64}{x ^{12}}}

Simplify

\frac{1}{- \frac{64}{x ^{12}}} : - \frac{x ^{12}}{64}

= - \frac{x ^{12}}{64}

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Frequently Asked Questions (FAQ)

What is (-4/(x^4))^{-3} ?
The solution to (-4/(x^4))^{-3} is -(x^{12})/(64)