We can solve this question using matching operations
Given:
Quantity A: \(x^2y^2\)
Quantity B: \((xy)^3\)


Simplify Quantity B to get:
Quantity A: \(x^2y^2\)
Quantity B: \(x^3y^3\)

Since \(x^2\) must be POSITIVE, we can safely divide both quantities by \(x^2\) to get:
Quantity A: \(y^2\)
Quantity B: \(xy^3\)

Likewise, since \(y^2\) must be POSITIVE, we can safely divide both quantities by \(y^2\) to get:
Quantity A: \(1\)
Quantity B: \(xy\)


Since we are told that \(x<0<y\), we know that the product \(xy\) is SOME NEGATIVE NUMBER. So, we get:
Quantity A: \(1\)
Quantity B: SOME NEGATIVE NUMBER

Answer: A


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