1 Lesson 5.2.1 Negative and Zero Exponents Negative and Zero Exponents.
Negative and Zero Exponents Foundations of Algebra.
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Transcript of Negative and Zero Exponents Foundations of Algebra.
![Page 1: Negative and Zero Exponents Foundations of Algebra.](https://reader033.fdocuments.in/reader033/viewer/2022051214/56649ee55503460f94bf4202/html5/thumbnails/1.jpg)
Negative and Zero Exponents
Foundations of Algebra
![Page 2: Negative and Zero Exponents Foundations of Algebra.](https://reader033.fdocuments.in/reader033/viewer/2022051214/56649ee55503460f94bf4202/html5/thumbnails/2.jpg)
Zero Exponents
Anything to the zero power is equal to 1.10 =a
Is anything divided by itself equal to 1?
1114
43
3
===m
m
n
n
1114 000 mn
![Page 3: Negative and Zero Exponents Foundations of Algebra.](https://reader033.fdocuments.in/reader033/viewer/2022051214/56649ee55503460f94bf4202/html5/thumbnails/3.jpg)
Simplify
1. 2x0
2. 5x3y2 0
![Page 4: Negative and Zero Exponents Foundations of Algebra.](https://reader033.fdocuments.in/reader033/viewer/2022051214/56649ee55503460f94bf4202/html5/thumbnails/4.jpg)
Negative Exponents
-n n-n n
n -n
a 1 1 aa or = a
1 a a 1
A negative exponent means you move the base to the other side (opposite side) of the fraction and make the exponent positive.
Notice that the base with the negative exponent moved and became positive!
![Page 5: Negative and Zero Exponents Foundations of Algebra.](https://reader033.fdocuments.in/reader033/viewer/2022051214/56649ee55503460f94bf4202/html5/thumbnails/5.jpg)
Simplify
3. x0y 4
x0 1 and y 4 1
y4
11
y4
1
y4
You can’t have negative or zero exponents in your answer.
![Page 6: Negative and Zero Exponents Foundations of Algebra.](https://reader033.fdocuments.in/reader033/viewer/2022051214/56649ee55503460f94bf4202/html5/thumbnails/6.jpg)
Simplify
1.
2.
3.
4.
2s8s
5
3
s
s
2
1
s
8
1
s
![Page 7: Negative and Zero Exponents Foundations of Algebra.](https://reader033.fdocuments.in/reader033/viewer/2022051214/56649ee55503460f94bf4202/html5/thumbnails/7.jpg)
Simplify
3642
8
1 yx 32
8
1yx
34
62
24
34
yx
yx.
2
3
8x
y=You can’t leave the negative exponent
There is another way of doing this without using negative exponents…
![Page 8: Negative and Zero Exponents Foundations of Algebra.](https://reader033.fdocuments.in/reader033/viewer/2022051214/56649ee55503460f94bf4202/html5/thumbnails/8.jpg)
Simplify
6.a 2
a5
a 2
a5
1
a2a5
Get rid of the negative exponent.
7
1
a=
![Page 9: Negative and Zero Exponents Foundations of Algebra.](https://reader033.fdocuments.in/reader033/viewer/2022051214/56649ee55503460f94bf4202/html5/thumbnails/9.jpg)
Simplify
7.p 4q 1
p3q 7
p 4q 1
p3q 7
q7
p4 p3q
Get rid of the negative exponent.
7
6
p
q=
![Page 10: Negative and Zero Exponents Foundations of Algebra.](https://reader033.fdocuments.in/reader033/viewer/2022051214/56649ee55503460f94bf4202/html5/thumbnails/10.jpg)
Simplify
8.m 2n3 2
3m3 3
m 2n3 2
3m3 3 m 4n6
33 m9
m 4n6
33 m9 n6
33 m4m9
Get rid of the parenthesis.
Get rid of the negative exponents.
13
6
27m
n=
![Page 11: Negative and Zero Exponents Foundations of Algebra.](https://reader033.fdocuments.in/reader033/viewer/2022051214/56649ee55503460f94bf4202/html5/thumbnails/11.jpg)
Simplify
-3x2 y 1 2
2xy3 3
9x
8y11
-9x
8y11
-9x
8y7
1.
2.
3.
4.
9x
8y7
![Page 12: Negative and Zero Exponents Foundations of Algebra.](https://reader033.fdocuments.in/reader033/viewer/2022051214/56649ee55503460f94bf4202/html5/thumbnails/12.jpg)
Examples6 2
5 3
m 5
a 3b7
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More Examples1
s 3
r0t 3
2 5 p0
![Page 14: Negative and Zero Exponents Foundations of Algebra.](https://reader033.fdocuments.in/reader033/viewer/2022051214/56649ee55503460f94bf4202/html5/thumbnails/14.jpg)
More Examplesa9b3
ab7
(2m9n 4 )0
(3m9n 4 )3