00:01
There's basically two rules in this problem is if you have x to the 1 over n power, that's saying it's the nth root of x.
00:07
And then the second rule is if you have something like b to the negative m power, that's the same thing as 1 over b to the positive end.
00:15
So as we're looking at part a, where they ask you to do negative 32 to the 1 fifth power, that this first rule of n, it's going to be 5.
00:29
So it's a fifth root of negative 32.
00:32
So the thought process, what i would do first is just break this down like two times 16, four and four, two and two.
00:42
And it is true that two to the fifth power, because there's five twos at the bottom of the tree, equals 32.
00:48
Now how do we make it negative? we'll just make all these negative.
00:53
And while it's true that in negative times a negative is positive, and another negative times the negative is positive, we have one more negative.
00:59
So this is true that that answer is negative 2.
01:03
Now, the reason why the next one has the same answer is because you're doing the, oh, whoops, it's 243 now...