Answer
$24\sqrt[3]{x^{7}}$.
Work Step by Step
The given expression is
$=(3x^{\frac{1}{3}})(8x^2)$
Add exponents of powers with the same base.
$=3\cdot 8 \cdot x^{\frac{1}{3}+2}$
Simplify.
$=24 \cdot x^{\frac{1}{3}+\frac{2}{1}}$
$=24 \cdot x^{\frac{1}{3}+\frac{6}{3}}$
$=24 \cdot x^{\frac{1+6}{3}}$
$=24 \cdot x^{\frac{7}{3}}$
Write in radical form.
$=24\sqrt[3]{x^{7}}$.
