Question

What is `15^x / 3^x` in simplest form?

Answer 1

`(15^x)/(3^x) = 5^x`

Explanation:

In general, `(a/b)^c = (a^c)/(b^c)`

So:

`(15^x)/(3^x) = (15/3)^x = 5^x`

You can see this in specific cases (e.g. `x=1` and `x=2`):

`(15^1)/(3^1) = 15/3 = 5 = 5^1`

`(15^2)/(3^2) = (15*15)/(3*3) = (15/3)(15/3) = 5*5 = 5^2`