## Algebra 1

$2^{x+y}\cdot 3^{x+2}$
$a^m \cdot a^n = a^{m+n}$ Regroup the factors to obtain: $= (2^x \cdot 2^y)\cdot (3^x \cdot 3^2)$ Use the rule above to obtain: $=2^{x+y}\cdot 3^{x+2}$