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Popular >

simplify sqrt(5.1^{-7)}

Solution

simplify

5. 1^{- 7}

Solution

0.00333 \dots

Solution steps

5. 1^{- 7}

Apply radical rule:

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

= (5. 1^{- 7})^{\frac{1}{2}}

Apply exponent rule:

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

= 5. 1^{(- 7) \frac{1}{2}}

(- 7) \frac{1}{2} = - \frac{7}{2}

= 5. 1^{- \frac{7}{2}}

5. 1^{- \frac{7}{2}} = 0.00333 \dots

= 0.00333 \dots

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Frequently Asked Questions (FAQ)

What is sqrt(5.1^{-7)} ?
The solution to sqrt(5.1^{-7)} is 0.00333…