Answer
$a^{\frac{2}{3}}$
Work Step by Step
Recall the rational exponent property (pg. 382):
$a^{\frac{m}{n}}=\sqrt[n]{a^m}=(\sqrt[n]{a})^m$
Applying this property ($m=2$, $n=3$), we get:
$\left(\sqrt[3]{a}\right)^2=a^{\frac{2}{3}}$
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