Zero and Negative Exponents

1
Zero and Negative Exponents
ALGEBRA 1 LESSON 8-1
Simplify each expression. 1. 34 2. (6)0 3. 2a0
b2 4. 5. 8000 40 6. 4500 32
1
k m3
km3
500
8000
8-1
2
Multiplication Properties of Exponents
ALGEBRA 1 LESSON 8-3
Simplify each expression. 1. 34 35 2. 4x5
3x2 3. (3 ? 104)(5 ? 102) 4. (7 ? 104)(1.5 ?
105) 5. (2w 2)(3w2b2)(5b3) 6. What is 2
trillion times 3 billion written in scientific
notation?
39
12x3
1.5 ? 107
1.05 ? 102
6 ? 1021
8-3
3
More Multiplication Properties of Exponents
ALGEBRA 1 LESSON 8-4
Simplify each expression. 1. (x4)5 2. x(x5y2)3 3
. (5x4)3 4. (1.5 ? 105)2 5. (2w2)4(3w2b2)3 6. (3
? 105)(4 ? 104)2
x20
2.25 ? 1010
125x12
432b6w2
4.8 ? 103
8-4
4
Division Properties of Exponents
ALGEBRA 1 LESSON 8-5
Simplify each expression. 1. 2. 3. 4. 5. 6.
1 w4
a10
27
1.6 ? 1034 ? 102
3
2
4x 3 3x 2
24 5
27 64x3
4 ? 104
8-5
5
Geometric Sequences
ALGEBRA 1 LESSON 8-6
1. Find the common ratio of the geometric
sequence 3, 6, 12, 24, . . . 2. Find the
next three terms of the sequence 243, 81, 27, 9,
. . . 3. Determine whether each sequence is
arithmetic or geometric. a. 37, 34, 31, 28, . .
. b. 8, 4, 2, 1, . . . 4. Find the
first, fifth, and ninth terms of the sequence
that has the rule A(n) 4(5)n1. 5. Suppose you
enlarge a photograph that is 4 in. wide and 6 in.
long so that its dimensions are 20 larger than
its original size. Write a rule for the length of
the copies. What will be the length if you
enlarge the photograph five times? (Hint The
common ratio is not just 0.2. You must add 20 to
100.)
2
arithmetic
geometric
4, 2500, 1,562,500
A(n) 6(1.2)n-1 about 14.9 in.
8-6