Answer
The radical form of $\frac{4}{5}x^{\frac{3}{2}}$ is $ \frac{4\sqrt[2] {x^3}}{5}$.
Work Step by Step
$\frac{4}{5}x^{\frac{3}{2}}$
$ = \frac{4}{5} \sqrt[2] {x^3} $
$ = \frac{4\sqrt[2] {x^3}}{5}$
The radical form of $\frac{4}{5}x^{\frac{3}{2}}$ is $ \frac{4\sqrt[2] {x^3}}{5}$.