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Popular >

simplify \sqrt[8]{7^n}

Solution

simplify

Solution

7^{\frac{n}{8}}

Solution steps

Apply radical rule:

= (7^{n})^{\frac{1}{8}}

Apply exponent rule:

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

= 7^{n \frac{1}{8}}

Simplify

n \frac{1}{8} : \frac{n}{8}

= 7^{\frac{n}{8}}

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Frequently Asked Questions (FAQ)

What is \sqrt[8]{7^n} ?
The solution to \sqrt[8]{7^n} is 7^{n/8}