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Popular >

simplify (\sqrt[5]{3v})^3

Solution

simplify

Solution

3^{\frac{3}{5}} v^{\frac{3}{5}}

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

= (3 v)^{\frac{1}{5} \cdot 3}

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

= (3 v)^{\frac{3}{5}}

Apply exponent rule:

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

= 3^{\frac{3}{5}} v^{\frac{3}{5}}

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Frequently Asked Questions (FAQ)

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