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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