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Popular >

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

Solution

simplify

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

Solution

\frac{2}{3 ^{\frac{1}{2}}}

+1

Decimal Notation

1.15470 \dots

Solution steps

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

Apply exponent rule:

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

= \frac{3 ^{\frac{- 1}{2}}}{4 ^{\frac{- 1}{2}}}

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

= \frac{\frac{1}{3 ^{\frac{1}{2}}}}{4 ^{\frac{- 1}{2}}}

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

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

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

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

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Frequently Asked Questions (FAQ)

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