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Popular >

simplify \sqrt[13]{5^7}

Solution

simplify

Solution

5^{\frac{7}{13}}

+1

Solution steps

Apply radical rule:

= (5^{7})^{\frac{1}{13}}

Apply exponent rule:

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

= 5^{7 \cdot \frac{1}{13}}

7 \cdot \frac{1}{13} = \frac{7}{13}

= 5^{\frac{7}{13}}

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Frequently Asked Questions (FAQ)

What is \sqrt[13]{5^7} ?
The solution to \sqrt[13]{5^7} is 5^{7/13}