Question

How do you simplify `(x^6)^3 / (x^3)^4`?

Answer 1

`color(purple)(=> x^6`

Explanation:

`(x^6)^3 / (x^3)^4`

`=> (x)^(6 * 3) / (x)^(3 * 4), " as " (a^m)^n = (a)^(mn)`

`=> x^(18) / x^(12)`

`=> x^ (18 -12) " as " a^m / a^n = a^(m-n)`

`color(purple)(=> x^6`