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Popular >

simplify (\sqrt[5]{3^2})^{1/3}

Solution

simplify

Solution

3^{\frac{2}{15}}

+1

Decimal Notation

1.15775 \dots

Solution steps

Apply radical rule:

= (3^{\frac{2}{5}})^{\frac{1}{3}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 3^{\frac{2}{5} \cdot \frac{1}{3}}

\frac{2}{5} \cdot \frac{1}{3} = \frac{2}{15}

= 3^{\frac{2}{15}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[5]{3^2})^{1/3} ?
The solution to (\sqrt[5]{3^2})^{1/3} is 3^{2/15}