Question

How do you multiply `(-5x^4y^2)^3`?

Answer 1

First of all, refer to the Index law of `(a^m)^n=a^(mn)`

This means when there's a power of a power, the powers are multiplied. e.g. `(2^4)^2=2^(4xx2) = 2^8`

`(-5x^4y^2)^3`:

We have to multiply all the powers of the values within the bracket by 3 thus.

`(-5x^4y^2)^3`= `(-5)^3x^(4xx3)y^(2xx3)=-125x^12y^6`

`-125x^12y^6` is thus the answer.