00:01
All right.
00:01
So on this problem, the things i say might sound redundant, but i'm going to do my best to explain what's going on here.
00:09
And what we're going to try and show is that any time that you take a positive exponent here as long as the base is between zero and one, you're still going to end up with some number between zero and one.
00:24
So i would just start with the base case, which is saying that n is one.
00:31
Well, is this, again, i mentioned that this is redundant because we know that a is between 0 and 1.
00:40
Well, if you take a to the first power, it's just going to equal a.
00:44
Well, we already know a is between 0 and 1.
00:47
So this statement is true.
00:50
So then if we do the inductive step, so now that we know that the base case is true, we can do the inductive step.
00:56
And that's for n is equal to k plus 1...