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Popular >

simplify (2/9)^{-3}

Solution

simplify

(\frac{2}{9})^{- 3}

Solution

\frac{729}{8}

+1

Decimal Notation

91.125

Solution steps

(\frac{2}{9})^{- 3}

Apply exponent rule:

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

(\frac{2}{9})^{- 3} = \frac{1}{( \frac{2}{9} ) ^{3}}

= \frac{1}{( \frac{2}{9} ) ^{3}}

(\frac{2}{9})^{3} = \frac{8}{729}

= \frac{1}{\frac{8}{729}}

Apply the fraction rule:

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

= \frac{729}{8}

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Frequently Asked Questions (FAQ)

What is (2/9)^{-3} ?
The solution to (2/9)^{-3} is 729/8