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Popular >

simplify (sqrt(3/2))^{-1}*4/9

Solution

simplify

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

Solution

\frac{4}{9} \frac{2}{3}

+1

Decimal Notation

0.36288 \dots

Solution steps

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

Apply exponent rule:

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

(\frac{3}{2})^{- 1} = \frac{1}{\frac{3}{2}}

= \frac{1}{\frac{3}{2}} \cdot \frac{4}{9}

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

= \frac{2}{3} \frac{4}{9}

= \frac{4}{9} \frac{2}{3}

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Frequently Asked Questions (FAQ)

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