How many pairs of positive integers x and y satisfy the equation x^{y}=2013^{2013}?
Hello, chopper07!
Is there more to the problem?
As given, it's rather silly.
$\displaystyle \text{How many pairs of positive integers }x,y\text{ satisfy the equation: }\:x^y\:=\:2013^{2013}\,?$
Answer: one pair .$\displaystyle \begin{Bmatrix}x \:=\:2013 \\ y \:=\:2013\end{Bmatrix}$