Proof That (ⁿ√x)^q is equal to ⁿ√(x^q)

You should already know by now that √a times √b is equal to √(ab) (if you don't, then click here). Now lets start with this:

This basically means that:

Since ^m√a times ^m√b is equal to ^m√(ab), then that must mean [n√x * n√x = n√(x²)], therefore:

Keep in mind that this is only true when x is not a negative number.