6.1
Integer Exponents and Scientific Notation
6.1 Integer Exponents and Scientific Notation
Use the product rule for exponents.
Copyright © 2010 Pearson Education, Inc.
All rights reserved.
Sec 6.1 - 2
1
6.1 Integer Exponents and Scientific Notation
Use the product rule for exponents.
Copyright © 2010 Pearson Education, Inc.
All rights reserved.
Sec 6.1 - 3
6.1 Integer Exponents and Scientific Notation
Define 0 and negative exponents.
Copyright © 2010 Pearson Education, Inc.
All rights reserved.
Sec 6.1 - 4
2
6.1 Integer Exponents and Scientific Notation
Negative Exponents
Copyright © 2010 Pearson Education, Inc.
All rights reserved.
Sec 6.1 - 5
6.1 Integer Exponents and Scientific Notation
Special Rules for Negative Exponents
Copyright © 2010 Pearson Education, Inc.
All rights reserved.
Sec 6.1 - 6
3
6.1 Integer Exponents and Scientific Notation
Use the quotient rule for exponents.
Copyright © 2010 Pearson Education, Inc.
All rights reserved.
Sec 6.1 - 7
6.1 Integer Exponents and Scientific Notation
Use the power rule for exponents.
Copyright © 2010 Pearson Education, Inc.
All rights reserved.
Sec 6.1 - 8
4
6.1 Integer Exponents and Scientific Notation
Use the power rule for exponents.
Copyright © 2010 Pearson Education, Inc.
All rights reserved.
Sec 6.1 - 9
6.1 Integer Exponents and Scientific Notation
More Special Rules for Negative Exponents
Copyright © 2010 Pearson Education, Inc.
All rights reserved.
Sec 6.1 - 10
5
6.1 Integer Exponents and Scientific Notation
Rules for Exponents Summarized
Copyright © 2010 Pearson Education, Inc.
All rights reserved.
Sec 6.1 - 11
6.1 Integer Exponents and Scientific Notation
Using the Definitions and Rules for Exponents
yz 3
x2
q3
− 3
p
9k 6 y 2
x 2z2
Copyright © 2010 Pearson Education, Inc.
All rights reserved.
Sec 6.1 - 12
6
4
2 0
a
3
4 b
6
⎛ −2a 4 ⎞
1) ⎜ 5 ⎟
⎝ b ⎠
6
9
4
r
o
2
7
2)
5 2
k
4 m
7
7 −1
( 2k ) m −5
−3
( km )
2
3)
(r )
4
6
r
4
-
4) -4r
-2
2
5
k
3
2
−1
⎛ 3k −2 ⎞ 2
5) ⎜ 4 ⎟ i
⎝ k ⎠ k
−3
Copyright © 2010 Pearson Education, Inc.
All rights reserved.
=
3 3
s
3
8 r
-
⎛ 9 r 3 s −5 ⎞
6) ⎜
−8 − 4 ⎟
−
18r
s ⎠
⎝
Sec 6.1 - 14
7