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Popular >

simplify (8/9)^{-2}

Solution

simplify

(\frac{8}{9})^{- 2}

Solution

\frac{81}{64}

+1

Solution steps

(\frac{8}{9})^{- 2}

Apply exponent rule:

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

(\frac{8}{9})^{- 2} = \frac{1}{( \frac{8}{9} ) ^{2}}

= \frac{1}{( \frac{8}{9} ) ^{2}}

(\frac{8}{9})^{2} = \frac{64}{81}

= \frac{1}{\frac{64}{81}}

Apply the fraction rule:

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

= \frac{81}{64}

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Frequently Asked Questions (FAQ)

What is (8/9)^{-2} ?
The solution to (8/9)^{-2} is 81/64