X^2Y^3/(XY)^2

To simplify this expression, we will break it down step by step.

First, let's simplify the expression inside the parentheses: (XY)^2 = X^2Y^2. We can rewrite the given expression as:

X^2Y^3 / X^2Y^2

Next, we can cancel out the X^2 term in the numerator and denominator, leaving us with:

Y^3 / Y^2

Since the bases (Y) are the same, we can subtract the exponents:

Y^(3-2) = Y^1 = Y

Therefore, the simplified expression is Y.