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Popular >

simplify (\sqrt[5]{a^3})^4

Solution

simplify

Solution

a^{\frac{12}{5}}

Solution steps

= (a^{\frac{3}{5}})^{4}

Apply exponent rule:

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

= a^{\frac{3}{5} \cdot 4}

\frac{3}{5} \cdot 4 = \frac{12}{5}

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

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Frequently Asked Questions (FAQ)

What is (\sqrt[5]{a^3})^4 ?
The solution to (\sqrt[5]{a^3})^4 is a^{12/5}