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Popular >

simplify (\sqrt[5]{125})^2

Solution

simplify

Solution

12 5^{\frac{2}{5}}

+1

Solution steps

Apply radical rule:

= (12 5^{\frac{1}{5}})^{2}

Apply exponent rule:

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

= 12 5^{\frac{1}{5} \cdot 2}

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

= 12 5^{\frac{2}{5}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[5]{125})^2 ?
The solution to (\sqrt[5]{125})^2 is 125^{2/5}