1 Answer

FarukT · Answer 1 · 2023-04-29T15:45:04+0000

Note that a radical expression can be express in rational exponents :

$\sqrt[n]{a}=a^{(1)/(n)}$

From the problem, we have :

$\sqrt[3]{a^5x^(10)}=(a^5x^(10))^{((1)/(1))/(3)}$

When simplifying exponents with parenthesis, the exponents are multiplied with each other.

$(a^m)^n=a^(mn)^{}$

So we have :

$\begin{gathered} (a^5x^(10))^{(1)/(3)}=a^{5*(1)/(3)}x^{10*(1)/(3)} \\ \Rightarrow a^{(5)/(3)}x^{(10)/(3)} \end{gathered}$

The answer is :

$a^{(5)/(3)}x^{(10)/(3)}$

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