WEBVTT
1
00:00:00.000 --> 00:00:12.080
Hi, I'm Ms. Rebecca Newburn and the purpose of this video is to show you some strategies
2
00:00:12.080 --> 00:00:15.640
on how to simplify exponents.
3
00:00:15.640 --> 00:00:21.920
So the first problem here, X to the second, times X to the fifth, there are some laws of
4
00:00:21.920 --> 00:00:26.800
exponents that you'll learn when you get to algebra, but I think it's a really good idea
5
00:00:26.800 --> 00:00:29.000
just to learn what it means.
6
00:00:29.000 --> 00:00:34.960
If you know what this means, then you'll naturally discover the laws of exponents.
7
00:00:34.960 --> 00:00:37.520
And you'll remember because you understand them.
8
00:00:37.520 --> 00:00:58.960
So X to the second means X times X times X to the fifth, that's 5X to the second.
9
00:00:58.960 --> 00:01:16.960
So X times X to the fifth, 1, 2, 3, 4, 5, 6, 7.
10
00:01:16.960 --> 00:01:22.960
Now, the second problem is using the fraction bar, which tells us to divide.
11
00:01:22.960 --> 00:01:33.000
So when we're setting this up, X squared is X times X over X to the fifth, so that's
12
00:01:33.000 --> 00:01:41.200
our 5X is multiply by themselves.
13
00:01:41.200 --> 00:01:46.000
And then you can start to simplify your fraction by looking for fractions that are equal to
14
00:01:46.000 --> 00:01:47.000
1.
15
00:01:47.000 --> 00:01:49.800
So X over X is a fraction equal to 1.
16
00:01:49.800 --> 00:01:55.320
That crosses itself out, and people to just a big 1.
17
00:01:55.320 --> 00:02:01.200
X over X is a fraction of equal to 1.
18
00:02:01.200 --> 00:02:04.320
Now common mistake number 1.
19
00:02:04.320 --> 00:02:07.240
So avoid this mistake.
20
00:02:07.240 --> 00:02:11.240
Students see this and say this is X to the third power.
21
00:02:11.240 --> 00:02:13.240
That's not right.
22
00:02:13.240 --> 00:02:14.240
Okay?
23
00:02:14.240 --> 00:02:17.000
Second common mistake.
24
00:02:17.000 --> 00:02:18.560
Also avoid this one.
25
00:02:18.560 --> 00:02:24.760
Students go, well, it's 0 because there's nothing in the numerator.
26
00:02:24.760 --> 00:02:25.760
That's not true.
27
00:02:25.760 --> 00:02:26.760
There is.
28
00:02:26.760 --> 00:02:27.760
Okay?
29
00:02:27.760 --> 00:02:30.840
This is not equal to 0.
30
00:02:30.840 --> 00:02:35.560
So one way to think about this is we were saying that these were equal to 1, well,
31
00:02:35.560 --> 00:02:44.600
1 times 1 is 1, and the denominator, that's X to the third.
32
00:02:44.600 --> 00:02:46.080
Okay?
33
00:02:46.080 --> 00:02:51.760
So one of the things I would just kind of encourage you to do is even when you start to learn
34
00:02:51.760 --> 00:02:57.360
the laws of X-Bones, try to do a couple in the expanded form, right?
35
00:02:57.360 --> 00:02:59.920
All the X's out, so you see it.
36
00:02:59.920 --> 00:03:04.280
And the second thing I really encourage you to do is really ask yourself where are the
37
00:03:04.280 --> 00:03:07.400
X's, where the variables located?
38
00:03:07.400 --> 00:03:11.400
So if they're in the denominator, you're going to have a fraction.
39
00:03:11.400 --> 00:03:16.880
So be careful about that, also a lot of times people see this and start to just multiply
40
00:03:16.880 --> 00:03:17.880
them out or reverse.
41
00:03:17.880 --> 00:03:21.200
We'll see this and write this problem.
42
00:03:21.200 --> 00:03:25.200
So those are some of the common mistakes.
43
00:03:25.200 --> 00:03:29.720
And this hopefully will give you some strategies on how to kind of check your work as you're
44
00:03:29.720 --> 00:03:31.920
going over it so you don't make careless mistakes.
45
00:03:31.920 --> 00:03:32.920
So good luck.
46
00:03:32.920 --> 00:03:44.400
Practice, practice, practice, and check out some of the other videos.