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Popular >

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

Solution

simplify

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

Solution

3

Solution steps

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

Apply exponent rule:

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

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

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

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

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

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

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

= 3

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\frac{3}{5} x - \frac{7}{5} x + \frac{5}{3} = \frac{31}{15}

Frequently Asked Questions (FAQ)

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