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Popular >

simplify (5/8)^{-2}

Solution

simplify

(\frac{5}{8})^{- 2}

Solution

\frac{64}{25}

+1

Decimal Notation

2.56

Solution steps

(\frac{5}{8})^{- 2}

Apply exponent rule:

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

(\frac{5}{8})^{- 2} = \frac{1}{( \frac{5}{8} ) ^{2}}

= \frac{1}{( \frac{5}{8} ) ^{2}}

(\frac{5}{8})^{2} = \frac{25}{64}

= \frac{1}{\frac{25}{64}}

Apply the fraction rule:

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

= \frac{64}{25}

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Frequently Asked Questions (FAQ)

What is (5/8)^{-2} ?
The solution to (5/8)^{-2} is 64/25