#### Answer

False;
The correct statement is:
$2^4+2^5=2^4+2^5$

#### Work Step by Step

RECALL:
$a^{m} \cdot a^n = a^{mn}$
The operation involved in the given expression is addition.
Thus, the rule above cannot be applied to the given expression.
Therefore, the given statement is false.
The correct statement is:
$2^4+2^5=2^4+2^5$