00:01
So to find the least common denominator of these two rational expressions, 10 divided by 21 times w to the fifth power and negative 6 divided by 7 to the 7th power, 7 times w to the 7th power, we look at the prime factorization trees for these both denominators.
00:16
So for 21, w to the fifth power, we get this is equal to 7 times 3 times w to the 5th.
00:24
This is equal to 3 times w to the 5th.
00:27
And we know because w is multiplied by itself five times, let's start counting the number of times each factor occurs.
00:38
So 7, 3, and w are the only factors here.
00:43
So 7 occurs one time, 3 occurs one time, and w, as we know, occurs 5 times because it's raised to the 5th power.
00:50
And we can move on to the second denominator, which is 7, w to the 7.
00:58
And we can ignore the negative sign here.
01:01
We can say it's associated with the 6 for now...