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Popular >

simplify (\sqrt[5]{a^4})^2

Solution

simplify

Solution

a^{\frac{8}{5}}

Solution steps

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

Apply exponent rule:

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

= a^{\frac{4}{5} \cdot 2}

\frac{4}{5} \cdot 2 = \frac{8}{5}

= a^{\frac{8}{5}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[5]{a^4})^2 ?
The solution to (\sqrt[5]{a^4})^2 is a^{8/5}