Question

How do you simplify `((4x^2y )/( 3xy^2))^4`?

Answer 1

`color(blue)(=> ((4x) / (3y))^4 = (256x^4) / (81y^4)`

Explanation:

`((4x^2y) / (3xy^2))^4`

`=> ((4 * color(red)(cancel(color(blue)(x))) * color(red)(x) * color(red)(cancel(color(blue)y)) )/ (3 * color(red)(cancel(color(blue)(x)) * color(red)(cancel(color(blue)(y))) * y)))^4`

`=> ((4x) / (3y))^4`

`=> (256x^4) / (81y^4)`