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Popular >

simplify (-125)^{-1/3}

Solution

simplify

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

Solution

- \frac{1}{5}

+1

Solution steps

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

Apply exponent rule:

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

(- 125)^{- \frac{1}{3}} = \frac{1}{( - 125 ) ^{\frac{1}{3}}}

= \frac{1}{( - 125 ) ^{\frac{1}{3}}}

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

= \frac{1}{- 5}

Apply the fraction rule:

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

= - \frac{1}{5}

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Frequently Asked Questions (FAQ)

What is (-125)^{-1/3} ?
The solution to (-125)^{-1/3} is -1/5