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Popular >

simplify \sqrt[6]{3^4}

Solution

simplify

Solution

3^{\frac{2}{3}}

+1

Solution steps

Apply radical rule:

= (3^{4})^{\frac{1}{6}}

Apply exponent rule:

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

= 3^{4 \cdot \frac{1}{6}}

4 \cdot \frac{1}{6} = \frac{2}{3}

= 3^{\frac{2}{3}}

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Frequently Asked Questions (FAQ)

What is \sqrt[6]{3^4} ?
The solution to \sqrt[6]{3^4} is 3^{2/3}