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Popular >

simplify (-2/5)^{-3}

Solution

simplify

(- \frac{2}{5})^{- 3}

Solution

- \frac{125}{8}

+1

Decimal Notation

- 15.625

Solution steps

(- \frac{2}{5})^{- 3}

Apply exponent rule:

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

(- \frac{2}{5})^{- 3} = \frac{1}{( - \frac{2}{5} ) ^{3}}

= \frac{1}{( - \frac{2}{5} ) ^{3}}

(- \frac{2}{5})^{3} = - \frac{8}{125}

= \frac{1}{- \frac{8}{125}}

\frac{1}{- \frac{8}{125}} = - \frac{125}{8}

= - \frac{125}{8}

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Frequently Asked Questions (FAQ)

What is (-2/5)^{-3} ?
The solution to (-2/5)^{-3} is -125/8