The function $f$ is defined by $f(x)=2^x$. The function $g$ is defined by $g(x)=2^{x-3}+5$. In the $xy$-plane, the graph of $y=g(x)$ is the result of shifting the graph of $y=f(x)$ right $h$ units and up $k$ units. What is the value of $h\cdot k$?