00:01
So we're asked to rewrite both of these fractions, 10 divided by p to the fifth and 7 divided by p squared, as new rational expressions, but both with the same denominator.
00:12
So to find that, we have to find the least common denominator.
00:16
And to do that, let's factor out p to the fifth.
00:20
So we get that.
00:22
This is equal to a string of p to the threep.
00:26
P's, p times p squared is equal to p ques.
00:33
P to p.
00:34
So the most important part now is to figure out the number of all of the unique factors that make up p to the fifth, which is in this case, only p, and occurs five times because we're multiplying p by itself five times.
00:50
It's raised to the fifth power.
00:52
And we have to do the same thing with p squared, the other denominator.
00:55
And in this case, the only unique factor is still p, but it's, it only occurs twice.
01:03
So two times.
01:04
Now you're able to form our least common denominator.
01:08
So we take all of the unique values, unique factors between both of these denominator factorization trees and which in this case is just p...