Answer
False;
The correct statement is:
$2^3 \cdot 3^2 = 2^3\cdot3^2$
Work Step by Step
RECALL:
$a^m \cdot a^n = a^{m+n}$
The factors have different bases; therefore, the given expression is already in its simplest form.
Thus, the given statement is false.
The correct statement is:
$2^3 \cdot 3^2 = 2^3\cdot3^2$