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Popular >

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

Solution

simplify

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

Solution

- \frac{64}{27}

+1

Decimal Notation

- 2.37037 \dots

Solution steps

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

Apply exponent rule:

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

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

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

(\frac{- 3}{4})^{3} = - \frac{27}{64}

= \frac{1}{- \frac{27}{64}}

\frac{1}{- \frac{27}{64}} = - \frac{64}{27}

= - \frac{64}{27}

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Frequently Asked Questions (FAQ)

What is ((-3)/4)^{-3} ?
The solution to ((-3)/4)^{-3} is -64/27