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Popular >

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

Solution

simplify

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

Solution

- \frac{27}{8}

+1

Solution steps

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

Apply exponent rule:

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

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

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

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

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

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

= - \frac{27}{8}

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Frequently Asked Questions (FAQ)

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