Answer
$a^{\frac{13}{6}}$
Work Step by Step
$a^{\frac{1}{3}}a^{\frac{4}{3}}a^{\frac{1}{2}}=a^{(\frac{1}{3}+\frac{4}{3}+\frac{1}{2})}=a^{(\frac{2}{6}+\frac{8}{6}+\frac{3}{6})}=a^{\frac{13}{6}}$
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