Question

How do you simplify `(4y)^7/(4y)^3`?

Answer 1

In general `color(blue)(a^m/a^n = a^(m-n)`

Here `a` is `4y`

`(4y)^7/(4y)^3`

`= (4y)^(7-3)`

`= (4y)^4`

`= 4^4 * y^4` (In general, `color(blue)((ab)^m = a^m * b^m`)

`color(green)( = 256y^4`