Algebra

I think this is the question:

$\frac{(xy)^3}{xy^3}=\frac{(xy)(xy)(xy)}{xyyy}=\frac{xxxyyy}{xyyy}=xx=x^2$

But maybe you meant it how you actually have it written:

$\frac{(xy)^3}{x}y^3=\frac{(xy)(xy)(xy)}{x}yyy=\frac{xxxyyyyyy}{x}=xxyyyyyy=x^2y^6$