<|system|>
If $x$ and $y$ are positive integers for which $2^x3^y = 1296$, what is the value of $x+y$?</s>.
<|user|>
Can you answer based on context?
<|assistant|>
Note that $1296 = 6^4 = 2^43^4$, so $x=y=4$ and $x+y=8$.