00:02
Okay, number 23, we want to simplify the expression 8m cubed n over 12 mn squared.
00:11
So monomial rational expressions are pretty easy to simplify because you basically just pull it apart.
00:19
So we're going to look at 8mn, m cubed n as 8 times m cubed times n.
00:29
And you do the same thing to the bottom and then just pair them up, right? 12 here, m here, and n squared here.
00:38
And of course, you'll need to remember your rule for subtracting exponents.
00:47
A to the m over a to the n is a to the m minus n.
00:54
If m is bigger than n, so a to the n over a to the m, right? if m is bigger, you always subtract so that the x, exponent stays positive.
01:07
So here we're going to subtract this number m by itself as m to the first.
01:13
We're going to subtract that one up and this one we're going to subtract that one down so that it the variable, the exponents stay positive.
01:22
All right.
01:23
So then we simplify each piece and we just multiply it back together...