# x

Document Sample

```					                 Multiplication Property          Chapter 4 Sec. 3
Pages 176 to 183
of Exponents

7  7  49 7  7  7  7  7  7  7  7
3
7
5      8                                8

x2 x3 = ( x  x) ( x  x  x) =x5

x7 x5 = x12        Add the Exponents, keep the base the same

x3 x8 = x11                                   m+n
a m      a n=      a
x4 x4 = x8            Multiplication Property of Exponents
1
x x5 = x6
Multiplication Property        Chapter 4 Sec. 3
Pages 176 to 183
of Exponents
x  x  x10
8   2

x  x  x9
2   7

3  3  35  243
3   2

4 5  4 5
4    7   4   7

4  4  43  64
2
m        n = am+n
4
a        a
x x  x
5
Multiplication Property of Exponents
6 5    11
x x  x         Add the Exponents, keep the base the same
Multiplication Property        Chapter 4 Sec. 3
Pages 176 to 183
of Exponents
4x2 3x3 = 12x5
-6x7 5x5 = -30x12

-x3 (-8x8) = 8x11
9x y    10x y   90x y
4    5           2   8           6   13

 2a b c    8a b c   16a b c
2 3 4              5 10            7 7 5

 9x      4
8x  -72x
the exponents, keep the base
1x   6         5
(1x )  x-11           the same
Power of a Power Property of   Chapter 4 Sec. 3
Exponents             Pages 176 to 183

x    
2 4
 x x x x 
2    2    2
x8 2

x    
3 5
x  x  x  x  x  x15
3   3   3    3     3

x7 8
  x-56           Power of a Power Property
x       x12
 2 6

x    x
9 5   45
a   a
m n           mn

x6 0
1          Multiply the Exponents, keep the base the
same
x    x
6 2   12
Power of a Power Property of     Chapter 4 Sec. 3
Exponents               Pages 176 to 183

x y 
3    4 5
 x15y20
Raise the coefficient to the given
3x 
1    2 4
 3 x 
4   8
81x8 power, Multiply the Exponents,
keep the base the same

1x z    1
2    7 8           8
x z  x16 z 56
16 56

2u v w  2 u v w  32u 10 v w
10 5
1    2    2   15   32v w 5
5    10 10   5         10 10

u
Power of a Power Property of   Chapter 4 Sec. 3
Exponents             Pages 176 to 183

1        3            3
 3 x 9   3 x 27  27 x 27
 1 
2 
3
2        8

x   6   5
yz      
10 0
1

4x 
1    6 2
 4 x  16x
2   12          12
Power of a Power Property of      Chapter 4 Sec. 3
Exponents                Pages 176 to 183

 
2
9x   4
 81x8

x y 
3
 x y
5       7               15    21

Raise the coefficient to the given

x z 
9
5 9
 x z   45 81     power, Multiply the Exponents,
keep the base the same
Power of a Power Property of       Chapter 4 Sec. 3
Exponents                 Pages 176 to 183

               
27   3
6 9
3      64v w
18 27
4u v w  64u v w             3

u18

2
5 5   25 10
 x      x
7     49
Raise the coefficient to the given
power, Multiply the Exponents,
keep the base the same

 9x 
2
5
 81x  10
Homework Starter
Name
Homework
10          11/14/06
Kleine
Page 200
10 ) 10 2 10 5                     #1-5
1025                         # 10-20
10  10,000,000
7
# 26-29

13) a10  a  a 2
1012
a
a13
Homework Starter
Name
10         11/14/06
Kleine

20 )  7 x 6  5 x8
68
35 x
35 x14
6.7 Multiplying and Dividing Powers
Subtract the exponents,
1)                                   keep the base the same
54 5  5  5  5   53
              
5       5                       m
a       mn
x4

x x x x
 x
2
n
 a
x 2
x x              a
4v 4 v  v  v  v  v
5                       Division Property of Exponents

2v 2 v  v  v
3

 2v   2
Guided Practice:

1) 4x2        3x3 =   (4  3)( x  x ) =12x5
2           3

2)   -6x7    5x5 =    (6  5)( x  x )  -30x12
7           5

5         5
2n 2 n 1   1
3)      n  n           51           4

4n 4 n 2   2

Homework:pg301(#1-8, 10-25)
Rules of Exponents

x      x8
2 4

x      x15
3 5
Power of a Power Property

x7 8
  x-56             a  m n
a     mn

x       x12
 2 6

x      x45
9 5             Multiply the Exponents, keep the base the
same

x6 0
1
x    x
6 2   12

```
DOCUMENT INFO
Shared By:
Categories:
Tags:
Stats:
 views: 0 posted: 5/22/2013 language: English pages: 13
tang shuming