What is (-125)^{(-1)/3} ?

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

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

simplify

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

- \frac{1}{5}

Solution steps

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

Apply the fraction rule:

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

\frac{- 1}{3} = - \frac{1}{3}

= (- 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}

\frac{4}{8} - \frac{1}{4}

\frac{( 388 )}{( - 21 )}

8 a + 3 b - 6 a + 7

(- 22)^{2}

\frac{2}{3} + 5 - 1.5