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Popular >

simplify sqrt((0.09)^{-1)}

Solution

simplify

(0.09)^{- 1}

Solution

3.33333 \dots

Solution steps

(0.09)^{- 1}

Apply radical rule:

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

= (0.0 9^{- 1})^{\frac{1}{2}}

Apply exponent rule:

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

= 0.0 9^{(- 1) \frac{1}{2}}

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

= 0.0 9^{- \frac{1}{2}}

0.0 9^{- \frac{1}{2}} = 3.33333 \dots

= 3.33333 \dots

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Frequently Asked Questions (FAQ)

What is sqrt((0.09)^{-1)} ?
The solution to sqrt((0.09)^{-1)} is 3.33333…