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Popular >

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

Solution

simplify

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

Solution

- 1

Solution steps

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

Apply exponent rule:

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

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

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

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

= \frac{1}{- 1}

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

= - 1

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Frequently Asked Questions (FAQ)

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