00:01
In this problem, we're being asked to simplify each of the following expressions.
00:04
So let's take a look at part a.
00:05
We have m to the 6 power, all being raised to the five -half's power.
00:09
Well, this is an example of our power rule for exponents.
00:13
That rule says if we have a to the m power, all raised to the m power, the result is a to the m times n power.
00:21
In other words, we keep the same base and we just multiply the exponents.
00:25
So in part a, we're going to keep the same base m, and we'll multiply our exponents.
00:30
So we have 6 times 5 over 2.
00:31
Well, 6 times 5 is 30, and 30 divided by 2 is 15.
00:36
So the answer to the part a is m to the 15th power...