If x, n, and y are all positive integers, is X^n divisible by y?
(1) x is divisible by y^n.
(2) x^n is divisible by y.
There must be a mistake in your post, since (2) directly answers the question, which will never happen on the actual GMAT (and which would also make the correct answer D, not A).
Ignoring (2) for now, let's start by breaking down the question stem: we need to determine whether y is a factor of x^n. What do we need? Information about the relationship among the variables.
(1) tells us that y^n is a factor of x. Well, since x, y and n are positive integers, we know that y^n is a multiple of y and x is a factor of x^n. Accordingly, (1) tells us that a multiple of y goes into a factor of x^n. If this is true, then y must go into x^n - sufficient.
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