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Popular >

simplify (-32)^{-4/5}

Solution

simplify

(- 32)^{- \frac{4}{5}}

Solution

\frac{1}{16}

+1

Decimal Notation

0.0625

Solution steps

(- 32)^{- \frac{4}{5}}

Apply exponent rule:

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

(- 32)^{- \frac{4}{5}} = \frac{1}{( - 32 ) ^{\frac{4}{5}}}

= \frac{1}{( - 32 ) ^{\frac{4}{5}}}

(- 32)^{\frac{4}{5}} = 3 2^{\frac{4}{5}}

= \frac{1}{3 2 ^{\frac{4}{5}}}

3 2^{\frac{4}{5}} = 16

= \frac{1}{16}

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Frequently Asked Questions (FAQ)

What is (-32)^{-4/5} ?
The solution to (-32)^{-4/5} is 1/16