Lesson 8.3 Multiply Means Add.notebook
March 26, 2013
8.3 Multiplication Properties of Exponents
Objectives
Be able to multiply powers with the same base
Powers
4
Base the number being multiplied
2
Exponent or power
This gives the number of times a number is multiplied by itself
Lesson 8.3 Multiply Means Add.notebook
March 26, 2013
Variables and powers
4
W W W W = W
Be careful!!!
W + W + W + W = 4W
Evaluate
p2 p 4 =
Think of a rule for what is happening!
Lesson 8.3 Multiply Means Add.notebook
March 26, 2013
If two exponential numbers with the same base are multiplied together, you can add the exponents together to get the answer.
add the exponents
Rewrite each expression using each base only once
3
6
4
­3
5 .5
2 .2
­3
2
(7 )(7 )( 7 )
6
Lesson 8.3 Multiply Means Add.notebook
March 26, 2013
Simplify
w5y6w2y9=
Remember! We care about the base!
Rewrite and Simplify !
Put LIKE BAES together first!
2
. 3.
n n 7n
3
2.
4
.
2y 7x 2y
­2
.
m n . 7m
2
Lesson 8.3 Multiply Means Add.notebook
March 26, 2013
Front Side
Inside Left
Zero as
an
Exponent
For every nonzero
number a,
Multiplying a Power
with the
Same Base
Examples:
50 = ___
x0 = ___
a0 = 1
Negative
Exponent
Inside Right
For every nonzero
number a and integer
n,
1
a-n =
an
Examples:
6-4 = _____
1
x -2 = _____
Examples:
For every nonzero
number a and integers
35 34 = 3
m and n,
a
m
n
a =a
m+n
Class Work:
WS 8­3 #1­29 odd
Then ALEKS
5+4
= ___
h -2 h 9 = ____ = __