Upload
georgina-eileen-kelly
View
221
Download
0
Embed Size (px)
Citation preview
Negative and Zero Exponents
Foundations of Algebra
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
Simplify
1. 2x0
2. 5x3y2 0
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!
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.
Simplify
1.
2.
3.
4.
2s8s
5
3
s
s
2
1
s
8
1
s
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…
Simplify
6.a 2
a5
a 2
a5
1
a2a5
Get rid of the negative exponent.
7
1
a=
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=
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=
Simplify
-3x2 y 1 2
2xy3 3
9x
8y11
-9x
8y11
-9x
8y7
1.
2.
3.
4.
9x
8y7
Examples6 2
5 3
m 5
a 3b7
More Examples1
s 3
r0t 3
2 5 p0
More Examplesa9b3
ab7
(2m9n 4 )0
(3m9n 4 )3