What is \sqrt[-3]{-125} ?

The solution to \sqrt[-3]{-125} is -1/5

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simplify \sqrt[-3]{-125}

simplify

- \frac{1}{5}

Solution steps

Apply the fraction rule:

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

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

Apply exponent rule:

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

Apply radical rule:

n

is odd

= \frac{1}{- 5}

Apply the fraction rule:

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

= - \frac{1}{5}

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