Answer
False
Work Step by Step
$\frac{24x^{6}}{4x^{3}}$ = 6$x^{2}$
To check if this is true or not, we simplify the left side.
RECALL:
$\frac{b^{n}}{b^{m}}$ = $b^{n-m}$
So, $\frac{24x^{6}}{4x^{3}}$ =
$\frac{24}{4}$$x^{6-3}$ =
6$x^{3}$
Because 6$x^{3}$ is not equal to 6$x^{2}$, this statement is false.