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Popular >

simplify (3/5)^{-3}

Solution

simplify

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

Solution

\frac{125}{27}

+1

Decimal Notation

4.62962 \dots

Solution steps

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

Apply exponent rule:

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

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

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

(\frac{3}{5})^{3} = \frac{27}{125}

= \frac{1}{\frac{27}{125}}

Apply the fraction rule:

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

= \frac{125}{27}

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Frequently Asked Questions (FAQ)

What is (3/5)^{-3} ?
The solution to (3/5)^{-3} is 125/27