$$a^{\frac{1}{2}}(a^{\frac{5}{3}}-a^{\frac{-2}{3}})$$
$\frac{a^{\frac{7}{3}}-1}{\sqrt[6]{a}}$
$$a^{\frac{1}{2}}\left(a^{\frac{5}{3}}-a^{-\frac{2}{3}}\right)$$
$$a^{\frac{1}{2}}a^{\frac{5}{3}}-a^{\frac{1}{2}}a^{-\frac{2}{3}}$$
$$a^{\frac{13}{6}}-a^{\frac{1}{2}}a^{-\frac{2}{3}}$$
$$a^{\frac{13}{6}}-a^{-\frac{1}{6}}$$
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