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Popular >

simplify (3/2)^{-3}

Solution

simplify

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

Solution

\frac{8}{27}

+1

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}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \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