Simplify completely using properties of exponents.
3
1.
y
2.**
1
n5
3.**
x
y
0
6.**
7a
7.***
(5ab) 2
8.
a 4b3c
x
2
x
5.
2( a 4b) 0
x
5
9.**
2n
2
when x = 2.
7
6 5
10.*** 9d 4e2 d
16. **Evaluate x 3
9
M. 9
B. 16
N. 18
C. 36
O. 27
D. 64
P. 81
F. 8
G. 16
H. 48
12.*
f7
f2
13.**
( k 4 )3
14.
w
w
15.
(3a 2 )(10b3 )
(2a 3 )(18b 2 )
yt
y4
y 12 , what is the value of t?
5
2
17. **Determine the value of 32 3 .
A. 12
E. 3
r 4t 2
t 3
7
4.***
18. **If
11.**
19. **Evaluate the expression 5
E. 1
F. 5
G. 10
H. 25
3
54 5 .
20. **Evaluate the expression 20 2
5
21. **Which expression is equivalent to
.
x5 y3z
I. −32
L.
3
?
I. 5x12 y 9 z
J. 0
1
32
K.
5 x4 y3
J. 5x17 y12 z
K. 125x 20 y 9 z
1
16
L. 125x17 y12 z
Write each number in Scientific Notation.
22.
340,000,000,000
23.*
0.0000000003
Write each number in standard form.
24.
9 x 106
25.** 4.7 x 10-4
26. **What is 75,200,000 in
scientific notation?
A. 7.52 105
27. **Multiply: 2.0 10
6
3.3 102 .
What is the product in scientific notation?
A. 66 10 5
B. 75.2 105
B. 6.6 10
C. 75.2 106
C. 0.66 10
D. 7.52 107
D. 6.6 10
4
3
12
Perform the indicated operation and write your answer in scientific notation.
28.**
2
10
2
6.4 10
5
2.7 1013
29.***
9 105
30.
(6
1012 ) 2
Compound Interest.
31.*
Would you rather have $500 in an account paying 6% interest compounded quarterly
or $600 in an account paying 5% compounded annually? Explain your reasoning.
Exponential Growth and Decay
32.** Suppose the population of a city is 50,000 and is growing 3% each year. Use the formula
y 50, 000 1.03x to find the population after 25 years.
33.*** The value of a new car decreases exponentially. Suppose your Mother buys a new car for
$22,000. The value of the car decreases by 20% each year. Write an equation and use it to
calculate the value of the car after 6 years.
34.** Evaluate the function f ( x)
Graph the exponential function.
35.** f(x) = -(2)x
2 3x for the domain {1, 2, 3, 4}