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Popular >

simplify (-125)^{-2/3}

Solution

simplify

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

Solution

\frac{1}{25}

+1

Solution steps

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

Apply exponent rule:

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

(- 125)^{- \frac{2}{3}} = \frac{1}{( - 125 ) ^{\frac{2}{3}}}

= \frac{1}{( - 125 ) ^{\frac{2}{3}}}

(- 125)^{\frac{2}{3}} = 12 5^{\frac{2}{3}}

= \frac{1}{12 5 ^{\frac{2}{3}}}

12 5^{\frac{2}{3}} = 25

= \frac{1}{25}

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Frequently Asked Questions (FAQ)

What is (-125)^{-2/3} ?
The solution to (-125)^{-2/3} is 1/25