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Popular >

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

Solution

simplify

Solution

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

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

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

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

Apply exponent rule:

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

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

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Frequently Asked Questions (FAQ)

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