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

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

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

simplify

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

- \frac{1}{125}

Decimal Notation

- 0.008

Solution steps

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

Apply exponent rule:

(a^{b})^{c} = a^{b c}

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

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

= (- 125)^{- 1}

Apply exponent rule:

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

= \frac{1}{- 125}

Apply the fraction rule:

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

= - \frac{1}{125}

{e^{12 \cdot l n (x) + 15 \cdot l n (y)}}^{\frac{1}{3}}

(5 x^{3}) (2 x^{2})

2 π

27