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Popular >

simplify (-1/5)^{-3}

Solution

simplify

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

Solution

- 125

Solution steps

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

Apply exponent rule:

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

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

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

(- \frac{1}{5})^{3} = - \frac{1}{125}

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

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

= - 125

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Frequently Asked Questions (FAQ)

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