Ch. 8 Quest Review:
Simplifying Exponential Expressions and Scientific Notation
Finish each rule.
1. a m  a n 
2.  a m  
3.  ab  
am
4. n 
a
5. a 0 
6. a  n 
m
109
n
Simplify the expression. The simplified expression should have no negative
exponents.
7.  x5 
8. 3 x 2   4 x3 
6
10.  2x 
9. 67  69
11.
 5
0
x
1
12.  
3
1
45  43
13.
42
y8
14. 9
y
15. x3  x 4  x 2
x 
16.
x 
3 2
5 3
4
2
17.  x 2 
18.  32 
4
 2 x3 y 2 
19. 

 3 xy 
3
20.
1
1
3x 3
Rewrite the number in decimal form.
22. 7.1532 105
21. 4.3269 103
Rewrite the number in scientific notation.
23. 0.0032
24. 1042000
Evaluate the expression without using a calculator. Write the result in decimal
form.
25.  6  102    7  103 
7.85 1026
26.
6.02 1023
8.2 10  7.9 10 
3
27.
7.3 1016
5
110
Exponents + Scientific Notation
Your quest on these topics is next class!
Simplify, if possible. Write your answer as a power or as a product of powers. There should be
no negative exponents in your answer.
1. 23  25
2.  y 2 
3. (3x3 )4
4. 40
5.  3a3    4a 
3
0
4
6.  a3b5   a 4b 
2
7. 35
4
8.  
7
9. 21  25
10. x 0 y 4
11. 5x 2
12.  5x 3 y 5 
17.
6 x 2 y 2
3 y 4
2
2
2
18.  2 x 2  4 x 8 
3
19.
15 x 3 z 5
25 y 4
20.
 20 xy8  5 x 3 y 5

21.
3x 4 y 2  2 y 3
m 5
m 7  m 4
2
 4 x 3 y 2 
y4


22. 
3 
x 6 y 5
 6 xy 
Write in Scientific Notation
23. 150 ,000
24. 0.000002
Write in Standard Form
25. 2.5 x102
26. 3.069 x106
Multiply or Divide. Your final answer should be written in Scientific Notation.
27.  2.6 x102 1.6 x103 
 4.9 x10 
5.5x10 
28.  2.46 x104  5.5 x105 
1
29.
2
 4.56 x10 
1.35x10 
3
30.
5