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Popular >

simplify \sqrt[3]{3^n}

Solution

simplify

Solution

3^{\frac{n}{3}}

Solution steps

Apply radical rule:

= (3^{n})^{\frac{1}{3}}

Apply exponent rule:

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

= 3^{n \frac{1}{3}}

Simplify

n \frac{1}{3} : \frac{n}{3}

= 3^{\frac{n}{3}}

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{3^n} ?
The solution to \sqrt[3]{3^n} is 3^{n/3}