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Popular >

simplify (-8)^{-4/3}

Solution

simplify

(- 8)^{- \frac{4}{3}}

Solution

\frac{1}{16}

+1

Decimal Notation

0.0625

Solution steps

(- 8)^{- \frac{4}{3}}

Apply exponent rule:

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

(- 8)^{- \frac{4}{3}} = \frac{1}{( - 8 ) ^{\frac{4}{3}}}

= \frac{1}{( - 8 ) ^{\frac{4}{3}}}

(- 8)^{\frac{4}{3}} = 8^{\frac{4}{3}}

= \frac{1}{8 ^{\frac{4}{3}}}

8^{\frac{4}{3}} = 16

= \frac{1}{16}

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Frequently Asked Questions (FAQ)

What is (-8)^{-4/3} ?
The solution to (-8)^{-4/3} is 1/16