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Popular >

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

Solution

simplify

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

Solution

- \frac{8}{27}

+1

Decimal Notation

- 0.29629 \dots

Solution steps

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

Apply exponent rule:

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

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

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

(- \frac{3}{2})^{3} = - \frac{27}{8}

= \frac{1}{- \frac{27}{8}}

\frac{1}{- \frac{27}{8}} = - \frac{8}{27}

= - \frac{8}{27}

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Frequently Asked Questions (FAQ)

What is (-3/2)^{-3} ?
The solution to (-3/2)^{-3} is -8/27