Answer
$\sqrt[12]{a^{11}}$.
Work Step by Step
The given expression is
$=(a^{\frac{2}{3}})(a^{\frac{1}{4}})$
Add exponents of powers with the same base.
$=a^{\frac{2}{3}+\frac{1}{4}}$
Simplify.
$=a^{\frac{8}{12}+\frac{3}{12}}$
$=a^{\frac{8+3}{12}}$
$=a^{\frac{11}{12}}$
Write in radical form.
$=\sqrt[12]{a^{11}}$.