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Popular >

simplify \sqrt[14]{7^7}

Solution

simplify

Solution

7

+1

Solution steps

Apply radical rule:

= (7^{7})^{\frac{1}{14}}

Apply exponent rule:

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

= 7^{7 \cdot \frac{1}{14}}

7 \cdot \frac{1}{14} = \frac{1}{2}

= 7^{\frac{1}{2}}

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

= 7

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Frequently Asked Questions (FAQ)

What is \sqrt[14]{7^7} ?
The solution to \sqrt[14]{7^7} is square root of 7