Answer
The given statement is false.
The correct statement is:
$\dfrac{a^6}{a^4}=a^2$
Work Step by Step
RECALL:
(1) $a^{-m} = \dfrac{1}{a^m}$
(2) $\dfrac{a^m}{a^n} = a^{m-n}$
Use the rule (2) above to obtain:
$\dfrac{a^6}{a^4} = a^{6-4} = a^2$
Thus, the given statement is false.
The correct statement is: $\dfrac{a^6}{a^4}=a^2$
