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Popular >

simplify (25/16)^{-1/2}

Solution

simplify

(\frac{25}{16})^{- \frac{1}{2}}

Solution

\frac{4}{5}

+1

Decimal Notation

0.8

Solution steps

(\frac{25}{16})^{- \frac{1}{2}}

Apply exponent rule:

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

(\frac{25}{16})^{- \frac{1}{2}} = \frac{1}{( \frac{25}{16} ) ^{\frac{1}{2}}}

= \frac{1}{( \frac{25}{16} ) ^{\frac{1}{2}}}

(\frac{25}{16})^{\frac{1}{2}} = \frac{5}{4}

= \frac{1}{\frac{5}{4}}

Apply the fraction rule:

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

= \frac{4}{5}

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Frequently Asked Questions (FAQ)

What is (25/16)^{-1/2} ?
The solution to (25/16)^{-1/2} is 4/5