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Popular >

simplify (16/9)^{-1/2}

Solution

simplify

(\frac{16}{9})^{- \frac{1}{2}}

Solution

\frac{3}{4}

+1

Decimal Notation

0.75

Solution steps

(\frac{16}{9})^{- \frac{1}{2}}

Apply exponent rule:

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

(\frac{16}{9})^{- \frac{1}{2}} = \frac{1}{( \frac{16}{9} ) ^{\frac{1}{2}}}

= \frac{1}{( \frac{16}{9} ) ^{\frac{1}{2}}}

(\frac{16}{9})^{\frac{1}{2}} = \frac{4}{3}

= \frac{1}{\frac{4}{3}}

Apply the fraction rule:

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

= \frac{3}{4}

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Frequently Asked Questions (FAQ)

What is (16/9)^{-1/2} ?
The solution to (16/9)^{-1/2} is 3/4