# Exponential Recap II

Algebra Level 2

$\begin{cases} \large 2^{x+y}\cdot 4^x=64 \\ \large 16^{x+y}\cdot 2^{-y}=16\end{cases}$

Solve the system for $$x$$ and $$y$$. If $$x+y$$ is equal to $$\dfrac ab$$, where $$a$$ and $$b$$ are coprime positive integers, submit your answer as $$a+b$$.

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