\[S=\dfrac{1^5}{5^1}+\dfrac{2^5}{5^2}+\dfrac{3^5}{5^3}+\dfrac{4^5}{5^4} +\dots \]

The value of \(S\) is of the form \[\dfrac{A}{B}\] where \(A\) and \(B\) are co-prime positive integers. Find the value of \[A-B\]

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