#### Answer

false;
The correct statement is: $a^2 \cdot a^4 = a^6$

#### Work Step by Step

RECALL:
$a^m \cdot a^n = a^{m+n}$
Use the rule above to obtain:
$2^2 \cdot 2^4 = 2^{2+4} = 2^6$
Thus, the given statement is false.
The correct statement would be:
$a^2 \cdot a^4 = a^6$