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Popular >

simplify (3/2)^{-5}

Solution

simplify

(\frac{3}{2})^{- 5}

Solution

\frac{32}{243}

+1

Solution steps

(\frac{3}{2})^{- 5}

Apply exponent rule:

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

(\frac{3}{2})^{- 5} = \frac{1}{( \frac{3}{2} ) ^{5}}

= \frac{1}{( \frac{3}{2} ) ^{5}}

(\frac{3}{2})^{5} = \frac{243}{32}

= \frac{1}{\frac{243}{32}}

Apply the fraction rule:

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

= \frac{32}{243}

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Frequently Asked Questions (FAQ)

What is (3/2)^{-5} ?
The solution to (3/2)^{-5} is 32/243