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Popular >

simplify (\sqrt[15]{3y})^6

Solution

simplify

Solution

3^{\frac{2}{5}} y^{\frac{2}{5}}

Solution steps

Apply radical rule:

= ((3 y)^{\frac{1}{15}})^{6}

Apply exponent rule:

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

= (3 y)^{\frac{1}{15} \cdot 6}

\frac{1}{15} \cdot 6 = \frac{2}{5}

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= 3^{\frac{2}{5}} y^{\frac{2}{5}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[15]{3y})^6 ?
The solution to (\sqrt[15]{3y})^6 is 3^{2/5}y^{2/5}