If x and y are positive integers for which (2expx)(3expy)=1296, what is the value of x+y?

If x and y are positive integers for which (2expx)(3expy)=1296, what is the value of x+y?

Note that 1296=6exp4=(2exp4)(3exp4), so x=y=4 and x+y=8. Final Answer: The final answer is 8.

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