Question

How do you simplify `(x^-6w^4)/(w^2z^-1)`?

Answer 1

`color(blue)(x^-6 w^2 z`

Explanation:

`(x^-6w^4)/(w^2z^-1)`

Note:
`color(blue)(a^m / a^n = a^(m-n)`
`color(blue)(1/a^-1 = a^1`

Applying the above mentioned properties to the exponents of `w` and `z` respectively.

`= (x^(-6)) . (w^color(blue)((4-2))) . (z^color(blue)(1))`

`= color(blue)(x^-6 w^2 z`