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Popular >

simplify (27/125)^{-2/3}

Solution

simplify

(\frac{27}{125})^{- \frac{2}{3}}

Solution

\frac{25}{9}

+1

Decimal

2.77777 \dots

Solution steps

(\frac{27}{125})^{- \frac{2}{3}}

Apply exponent rule:

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

(\frac{27}{125})^{- \frac{2}{3}} = \frac{1}{( \frac{27}{125} ) ^{\frac{2}{3}}}

= \frac{1}{( \frac{27}{125} ) ^{\frac{2}{3}}}

(\frac{27}{125})^{\frac{2}{3}} = \frac{9}{25}

= \frac{1}{\frac{9}{25}}

Apply the fraction rule:

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

= \frac{25}{9}

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Frequently Asked Questions (FAQ)

What is (27/125)^{-2/3} ?
The solution to (27/125)^{-2/3} is 25/9