Answer
$\sqrt[6] {x^5}$.
Work Step by Step
The given expression is
$=\sqrt[3] x\cdot \sqrt x$
Rewrite as exponential expressions.
$=(x)^{\frac{1}{3}}\cdot (x)^{\frac{1}{2}}$
To multiply with the same base, add exponents.
$=(x)^{\frac{1}{3}+\frac{1}{2}}$
Write exponents in terms of the LCD, $6$.
$=(x)^{\frac{2}{6}+\frac{3}{6}}$
Add exponents.
$=(x)^{\frac{2+3}{6}}$
Simplify.
$=(x)^{\frac{5}{6}}$
Rewrite as a radical expression:
$=\sqrt[6] {x^5}$.
