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Popular >

simplify (-8)^{-5/3}

Solution

simplify

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

Solution

- \frac{1}{32}

+1

Decimal Notation

- 0.03125

Solution steps

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

Apply exponent rule:

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

(- 8)^{- \frac{5}{3}} = \frac{1}{( - 8 ) ^{\frac{5}{3}}}

= \frac{1}{( - 8 ) ^{\frac{5}{3}}}

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

= \frac{1}{- 8 ^{\frac{5}{3}}}

Apply the fraction rule:

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

= - \frac{1}{8 ^{\frac{5}{3}}}

8^{\frac{5}{3}} = 32

= - \frac{1}{32}

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Frequently Asked Questions (FAQ)

What is (-8)^{-5/3} ?
The solution to (-8)^{-5/3} is -1/32