#### Answer

False;
The correct statement is:
$5^6 \cdot 5^2 = 5^8$

#### Work Step by Step

RECALL:
$a^m \cdot a^n = a^{m+n}$
Use the rule above to obtain:
$5^6 \cdot 5^2 = 5^{6+2} = 5^8$
Thus, the given statement is false.
The correct statement would be:
$5^6 \cdot 5^2 = 5^8$