# Infinite Sum Practice (2)

Calculus Level 4

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

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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