Question

Reducir: (((xy)^2.x^3).y)^4/((x^2.y)^2.y)^8

Answer 1

$\frac{\left(\left(\left(xy\right)^2x^3\right)y\right)^4}{\left(\left(x^2y\right)^2y\right)^8}$
$=\frac{y^4\left(x^3\left(xy\right)^2\right)^4}{x^{32}y^{16}y^8}$
$\frac{y^4\left(x^3\left(xy\right)^2\right)^4}{x^{32}y^{24}}$
$=\frac{\left(x^3\left(xy\right)^2\right)^4}{x^{32}y^{20}}$
$=\frac{x^{20}y^8}{x^{32}y^{20}}$
$=\frac{x^{20}}{x^{32}y^{12}}$
$=\frac{1}{x^{12}y^{12}}$