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Popular >

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

Solution

simplify

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

Solution

\frac{3}{2}

+1

Decimal Notation

1.5

Solution steps

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

4^{\frac{- 1}{2}} = \frac{1}{2}

= \frac{\frac{1}{2}}{9 ^{\frac{- 1}{2}}}

9^{\frac{- 1}{2}} = \frac{1}{3}

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

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

= \frac{3}{2}

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Frequently Asked Questions (FAQ)

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