Lesson 8.5 Divide Means Subtract.notebook
April 04, 2013
8.5 Division Properties of Exponents
Objectives
Be able to divide powers with the same base
Check out what happens when we divide exponents with the same base
23
21
y2
y5
What pattern do you notice?
Lesson 8.5 Divide Means Subtract.notebook
April 04, 2013
If two exponential numbers with the same base are divided, we subtract the exponents. The remainder belongs with the higher exponent amount
a
m
an
=
a
m­n
Try this one!
3
x w5
5
x w2
Lesson 8.5 Divide Means Subtract.notebook
How about
p3j­4
p­3j6
April 04, 2013
Lesson 8.5 Divide Means Subtract.notebook
April 04, 2013
Lesson 8.5 Divide Means Subtract.notebook
Front Side
Raising a Power
to a
Power
Inside Left
For every nonzero
number a and integers
m and n,
(a m )n = a mn
Dividing Powers
with the
Same Base
For every nonzero
number a and integers
m and n,
am
= a m-n
an
April 04, 2013
Inside Right
Examples:
(54)2 = 5 4
2
=___
(x 2)5 = ____ = ___
Examples:
37
=3
33
7-3
b4
b 9 = b9-4
PARTNER "QUIZ"
You and your partner will be presenting solutions to at least one of these!
You will be graded! 8 points!
= ___
Lesson 8.5 Divide Means Subtract.notebook
z3
b6
x2
x7
April 04, 2013
729
64
m
1
5
a3
3
1
8
d5
3x2
2
2x3
3
2x
1,000,000,000,000,000,000
1
x5
x8
Lesson 8.5 Divide Means Subtract.notebook
Homework #27:
Page 456
#5­12, 21­36
April 04, 2013