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Popular >

simplify \sqrt[5]{4y}^2

Solution

simplify

Solution

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

Solution steps

Apply radical rule:

= ((4 y)^{\frac{1}{5}})^{2}

Apply exponent rule:

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

= (4 y)^{\frac{1}{5} \cdot 2}

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

= (4 y)^{\frac{2}{5}}

Apply exponent rule:

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

= 4^{\frac{2}{5}} y^{\frac{2}{5}}

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Frequently Asked Questions (FAQ)

What is \sqrt[5]{4y}^2 ?
The solution to \sqrt[5]{4y}^2 is 4^{2/5}y^{2/5}