Exponent Properties Notes ­ Mult./Div
September 25, 2015
Warm­up 9/24/15:
Answer the following questions. 1.) 122 = 2.) (­10)2 = 3.) (­4)3 = 4.) 25 = EXPONENTS
POWER:
base/exponent
d
7
Exponent: This
number
represents how
many times
to multiply the
base by itself
Base: The variable/number
that is multiplied by itself.
1
Exponent Properties Notes ­ Mult./Div
September 25, 2015
MULTIPLYING POWERS WITH SAME BASE
a x a = a5+8 = a13
5 8
Add the
exponents
66 x 63= 66+3 = 69
25 x 2 = 25+1 = 26
64 x 44 =
cannot combine
Multiplication Properties of Exponents
**Multiplying Powers with the
same base:
-keep the base
-add the exponents
am an = am+n
Ex: 35
34 =
Ex: h2 h9 =
39
h11
2
Exponent Properties Notes ­ Mult./Div
September 25, 2015
Multiplying Powers with the same base:
Examples:
Rewrite each expression using
each base only once.
1. 11 4 * 113 = __117___
2. 25 * 22 * 2-1 = __26___
3. 5-2 * 52 = _50_____
DIVIDING POWERS WITH SAME BASE
_75 =
73
3
Exponent Properties Notes ­ Mult./Div
September 25, 2015
DIVIDING POWERS WITH SAME BASE
_75 =
73
7x7x7x7x7
=
7x7x7
72
Subtract exponents
_a5 = a x a x a x a x a = a or a
a4
a x a x a x a
1
Evaluate:
2­5 23
4
Exponent Properties Notes ­ Mult./Div
September 25, 2015
Evaluate:
6
5
___
68
Evaluate:
3 3
­4
5
5
Exponent Properties Notes ­ Mult./Div
September 25, 2015
Evaluate:
5
(4­11)
_____
(1­8)2
Evaluate:
(2 6)­5 (4 3)3
6