Question

How do you simplify `(x^9z^(-3))/(x^6z^2)`?

Answer 1

`= x^ color(blue)(3 ) / z ^ color(blue)(5)`

Explanation:

`(x^9 z ^-3) / (x^6 z ^2`

`= (x^9 / x^6 ) * ( z ^-3 / z ^2)`

• As per property:
  `color(blue)(a^m / a ^n = a ^(m-n)`

`= x^ color(blue)((9 - 6) ) * z ^ color(blue)((-3 - 2)`

`= x^ color(blue)(3 ) * z ^ color(blue)(-5)`

`= x^ color(blue)(3 ) z ^ color(blue)(-5)`

• As per property:
  `color(blue)(1/a^-1 = a` , applying the same to `z`

`= x^ color(blue)(3 ) / z ^ color(blue)(5)`