Answer
False
Work Step by Step
$\frac{10a^{6}}{2a^{2}}$ = 8$a^{4}$
To check if this is true or not, we simplify the left side.
RECALL:
$\frac{b^{n}}{b^{m}}$ = $b^{n-m}$
So, $\frac{10a^{6}}{2a^{2}}$ =
$\frac{10}{2}$$a^{6-2}$ =
5$a^{4}$
Because 5$a^{4}$ is not equal to 8$a^{4}$, this statement is false.