Question

How do you simplify `(-3r^2s^-4)(2r^-3s^7)^2`?

Answer 1

`color(indigo)(=> -12 r^-4 * s^10 = (-12 s^10)/r^4`

Explanation:

`(-3 r^2 s^-4)((2r^-3s^7)^2`

`=> (-3 r^2 s^-4) (2^2 r^-6 s^14)`

`=> (-3 * 4 * r^2 * r^-6 * s^-4 * s^14)`

`color(indigo)(=> -12 r^-4 * s^10 = (-12 s^10)/r^4`