Question

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

Answer 1

`= color(blue)((16 x^(4)) / color(blue)( w^(12)`

Explanation:

`(4w^-6x^2)^2`

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

`(4w^-6x^2)^2 = 4^2 * w^((-6 * 2 )) * x^((2 * 2))`

`= 16 color(blue)(w^(-12)) x^(4)`

• As per property:
  `color(blue)(a^1 = 1 /a`

`= (16 x^(4)) / color(blue)( w^(12)`

`= color(blue)((16 x^(4)) / color(blue)( w^(12)`