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Popular >

simplify (\sqrt[3]{4n})^2

Solution

simplify

Solution

4^{\frac{2}{3}} n^{\frac{2}{3}}

Solution steps

Apply radical rule:

= ((4 n)^{\frac{1}{3}})^{2}

Apply exponent rule:

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

= (4 n)^{\frac{1}{3} \cdot 2}

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

= (4 n)^{\frac{2}{3}}

Apply exponent rule:

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

= 4^{\frac{2}{3}} n^{\frac{2}{3}}

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Frequently Asked Questions (FAQ)

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