Question

How do you simplify `(x^2y^-1)^3`?

Answer 1

`color(blue)(=> x^6 / y^3`

Explanation:

`(a^m)^n = a^(mn), (a^(m) b^(n))^c = a^(mc) * b^(nc), a^-m = 1 / a^m`

`(x^2 y^(-1))^3 = (x^2)^3 * (y^-1)^3`

`=> x^6 * y^-3`

`=> x^6 / y^3`