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Popular >

simplify (-32x^{-5})^{-3/5}

Solution

simplify

(- 32 x^{- 5})^{- \frac{3}{5}}

Solution

- \frac{x ^{3}}{8}

Solution steps

(- 32 x^{- 5})^{- \frac{3}{5}}

Apply exponent rule:

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

(- 32 x^{- 5})^{- \frac{3}{5}} = \frac{1}{( - 32 x ^{- 5} ) ^{\frac{3}{5}}}

= \frac{1}{( - 32 x ^{- 5} ) ^{\frac{3}{5}}}

Simplify

(- 32 x^{- 5})^{\frac{3}{5}} : - \frac{8}{x ^{3}}

= \frac{1}{- \frac{8}{x ^{3}}}

Simplify

\frac{1}{- \frac{8}{x ^{3}}} : - \frac{x ^{3}}{8}

= - \frac{x ^{3}}{8}

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Frequently Asked Questions (FAQ)

What is (-32x^{-5})^{-3/5} ?
The solution to (-32x^{-5})^{-3/5} is -(x^3)/8