00:01
Well, let's consider this exponent rule here.
00:03
So if i have 10 to the power of m, and then i raise that whole quantity to the power of n here in blue, what i get is 10 to the power of m times n.
00:13
So this multiplication is what we want to consider.
00:16
So how do we know that this works? what's our intuition? let's go ahead and consider what this means.
00:23
Let's imagine instead we started with 10 to the m squared.
00:28
Well, when you square something, you definitely just multiply it by itself.
00:35
So 10 to the m times 10 to the m.
00:38
Okay, well, we know how to multiply two powers of 10.
00:42
We know that these are going to add.
00:44
That'll look like m plus m or 10 to the 2m...