Question

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

Answer 1

`-8x^12y^9`

Explanation:

using the following fact in relation to exponents

`(a^m)^n = a^(mn)`

now apply this to each of the factors

`(-2x^4y^3)^3 = (-2)^(1xx3) . x^(4xx3).y^(3xx3)`

`= (-2)^3.x^12.y^9 = -8x^12y^9`