In the problem below, I know that the inequality is ‘False’, because the answer is 3 < 0, but I’m slightly unclear on the concept here.

Specifically, what is the reason we can’t have the radical cancel out the exponent? Then we would be left with -3, and the inequality would be true.

So what is the rule that says we take care of the exponent under the radical first? Just slightly confused on like the order in which we do this. Cause in other problems (and maybe I’m mixing up concepts here) we kind of write something like this as ((-3)^2)^1/2 which would become (-3)^1 which would be -3. Or is that process not applicable here?

I feel like I’m missing something in my understanding of this concept.