Download Negative Exponents

Negative Exponents
Name
Period #
Dividing Expressions Containing Exponents
Ex 1:
97
94
=
9999999
9999
= 93
Shortcut: To DIVIDE numbers or variables with the same nonzero base, subtract the
exponents.
Ex 2:
3)
97
=
94
56
52
97 - 4 = 93
4)
x 25
x18
5)
12m 5
4m
6)
w18 z 11
w4 z 8
7)
48 x 7 y 29 z 14
8 x 4 y 28 z
Simplifying Expressions With Integer Exponents
Ex 8:
34
34
= 34-4 = 30
1
3333
34
=
=
=
4
3333
1
3
so
1
Shortcut: Any number raised to the power of zero equals 1
Ex 9: 30 = 1
12)
( 9 ) 3
( 9 ) 3
Ex 10: x0 = 1
13) 1930
14)
52 x 6
5x 6
Ex 11:
15)
x5 y 6
x5 y3
1
9b 4
=
4
2
18b
16) 5x0
Making Exponents HAPPY! (POSITIVE)
A power is not happy when it has a negative exponent!
expression to make all exponents happy!
Most times, we change the
(POSITIVE)
ONLY USE NEGATIVE EXPONENTS WHEN SPECIFIED!!!
Ex 17:
8-2 =
19) 3-6
Ex 23:
Ex 18:
20)
x2 y3
x3 y
b3
24) 9
b
12 x 5
28)
4 y 3
31)
1
82
5 x 4 y 3 (2) x 5
2x 2
=
a4
a6
21)
x3
x7
=
1
x4
3y8
9 y 12
22)
15ab 5
5ab12 c
y2
x
15h 6 k 3
29)
5hk 2
 a5 
32)  3 
a 
a 2b 3
27)
ab15
xy5
26) 5 3
x y
m3n 2
25)
m6n8
3
21e 4 f 2
30)
7e 2

2 6
33) x x

2