00:01
Now, we have negative c to the fourth times 2 cubed times negative 5c.
00:08
How can we make this as simple as possible? how can we rewrite this? well, first thing to realize is that everything's being multiplied together.
00:18
We're multiplying here.
00:24
So we can rearrange it in whatever way makes the most sense, whatever way is easiest for us.
00:29
And recognize that this negative c to the fourth is really negative 1 times c to the 4.
00:36
Fourth.
00:39
So we're going to rewrite this whole thing as negative one times two cubed times negative five.
00:52
Okay, there's all the numbers and now let's do the letters times c to the fourth, just see to the fourth because we took care of the negative with this negative one times c.
01:02
Because that last one is just negative five times c.
01:07
Okay, let's handle the numbers first.
01:10
And we'll start with the exponent, two cubed equals.
01:14
That's the base two times itself three times.
01:17
Two times two times two, which equals two times two is four, so it's four times two, equals eight.
01:30
So negative one times two cubed times negative five equals negative one times eight times negative five equals negative eight times negative negative 5 equals 40, right? because 8 times 5 is 40 and the two negatives cancel out.
02:03
So that's what we get for the numbers...