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Popular >

simplify (-8)^{(-2)/3}

Solution

simplify

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

Solution

\frac{1}{4}

+1

Decimal Notation

0.25

Solution steps

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

Apply the fraction rule:

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

\frac{- 2}{3} = - \frac{2}{3}

= (- 8)^{- \frac{2}{3}}

Apply exponent rule:

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

(- 8)^{- \frac{2}{3}} = \frac{1}{( - 8 ) ^{\frac{2}{3}}}

= \frac{1}{( - 8 ) ^{\frac{2}{3}}}

(- 8)^{\frac{2}{3}} = 8^{\frac{2}{3}}

= \frac{1}{8 ^{\frac{2}{3}}}

8^{\frac{2}{3}} = 4

= \frac{1}{4}

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Frequently Asked Questions (FAQ)

What is (-8)^{(-2)/3} ?
The solution to (-8)^{(-2)/3} is 1/4