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Popular >

simplify (9/4)^{-1/2}

Solution

simplify

(\frac{9}{4})^{- \frac{1}{2}}

Solution

\frac{2}{3}

+1

Decimal Notation

0.66666 \dots

Solution steps

(\frac{9}{4})^{- \frac{1}{2}}

Apply exponent rule:

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

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

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

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

= \frac{1}{\frac{3}{2}}

Apply the fraction rule:

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

= \frac{2}{3}

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Frequently Asked Questions (FAQ)

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