Question

How do you simplify `4/m^ -7`?

Answer 1

`4/m^(-7) = 4m^7` with exclusion `m != 0`

Explanation:

If `m != 0` then:

`m^(-7) = 1/underbrace(m xx m xx .. xx m)_"7 times" = 1/m^7`

So:

`4/m^(-7)=4/(1/m^7) = 4 m^7`

Note that if `m = 0` then the left hand side is undefined, but the right hand side is defined, so `m=0` is an excluded value.