Find the sum of the following geometric series:

$4+\frac{8}{5}+\frac{16}{25}+\frac{32}{125}+$cdots$+4*\frac{2^{11}}{5^{11}}$

Please give the exact value of the sum, not an approximation. $($Remember that Edfinity doesn't require you to simplify.$)$

Sum: