How many pairs of positive integers x and y satisfy the equation x^{y}=2013^{2013}?
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Hey chopper07. (Hint: Try factorizing 2013 first).
chiro's point is that x^y, for x and y integers, will be equal to A if and only if A contains every prime factor of x, to the y power. For example x^y= 36= 4(9)= 2^2(3^2) only for x= 36, y= 1 or for x= 6, y= 2.
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