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Popular >

simplify (-1/64)^{-1/3}

Solution

simplify

(- \frac{1}{64})^{- \frac{1}{3}}

Solution

- 4

Solution steps

(- \frac{1}{64})^{- \frac{1}{3}}

Apply exponent rule:

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

(- \frac{1}{64})^{- \frac{1}{3}} = \frac{1}{( - \frac{1}{64} ) ^{\frac{1}{3}}}

= \frac{1}{( - \frac{1}{64} ) ^{\frac{1}{3}}}

(- \frac{1}{64})^{\frac{1}{3}} = - \frac{1}{4}

= \frac{1}{- \frac{1}{4}}

\frac{1}{- \frac{1}{4}} = - 4

= - 4

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Frequently Asked Questions (FAQ)

What is (-1/64)^{-1/3} ?
The solution to (-1/64)^{-1/3} is -4