Question

the expression \\(\frac{(x^2 y)^2}{(xy)^2}\\) can be simplified as ____. select the correct response: \\(x^4\\) \\(x^4 y\\) \\(xy\\) \\(x^3 y\\)

Explanation:

Step1: Expand numerator and denominator

$(x^2y)^2 = x^{2×2}y^{1×2} = x^4y^2$; $(xy)^2 = x^2y^2$

Step2: Simplify the fraction

$\frac{x^4y^2}{x^2y^2} = x^{4-2}y^{2-2} = x^2y^0 = x^2$

Answer:

$x^2$