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Popular >

simplify (-1000)^{-1/3}

Solution

simplify

(- 1000)^{- \frac{1}{3}}

Solution

- \frac{1}{10}

+1

Solution steps

(- 1000)^{- \frac{1}{3}}

Apply exponent rule:

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

= \frac{1}{( - 1000 ) ^{\frac{1}{3}}}

(- 1000)^{\frac{1}{3}} = - 100 0^{\frac{1}{3}}

= \frac{1}{- 100 0 ^{\frac{1}{3}}}

Apply the fraction rule:

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

= - \frac{1}{100 0 ^{\frac{1}{3}}}

100 0^{\frac{1}{3}} = 10

= - \frac{1}{10}

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Frequently Asked Questions (FAQ)

What is (-1000)^{-1/3} ?
The solution to (-1000)^{-1/3} is -1/10