Pre-Algebra 8, Unit 04 Practice Test: Exponents and Scientific Notation
Name:
Date:
1. A. Describe the rule for multiplying powers with the same base and give an example.
B. Describe the rule for the quotient of powers with the same base and give an example.
2. Describe the Power of a Power Property and give an example.
3. A) Write a strategy for adding numbers expressed in scientific notation.
B) Write a strategy for dividing numbers expressed in scientific notation.
(SE)For problems 4 – 8, find the product or quotient.
4. x 3  x5
24m11
7.
18m5
5.
x8
x4
8. x 0  1000
6. 2n 5  3n 2
Pre-Algebra 8 Practice Test
Unit 04: Exponents and Scientific Notation
Revised 2013 - CCSS
Page 1 of 4
9. (SE) Which expression is equivalent to
108 ?
10 
2 4
A.
102
106
B.
C. 10 10
4
D.
 10 
2
8
10. (SE) Which expression is equivalent to
5 4 ?
A.
4  5
B.
4
5
C.
D.
13. (SE) Which is an equivalent form of the
fraction?
2 x3
10 y 2
A.
1
5x3 y 2
B.
x3 y 2
5
C.
5x3 y 2
D.
5 y2
x3
14. (SE) Evaluate
A. 
2
3
4 5
B.
1
54
1
2
C. 24
y
when x  2 and y  4 .
x 3
D. 32
32
11. (SE) Evaluate 6 .
3
A.
81
B.

15. (SE/CRT) What is 2.78  105 written in
standard form?
A.
B.
C.
D.
1
81
C.
1
81
D.
81
12. (SE) Which value of N would make the
statement true?
(5 N )3  515
A. N = –5
B. N = –12
0.00000278
0.0000278
27,800
278,000
16. (SE) What is 0.0028 written in scientific
notation?
A.
B.
C.
D.
2.8  10 3
2.8  10 2
2.8  102
2.8  103
C. N = –18
D. N = –45
Pre-Algebra 8 Practice Test
Unit 04: Exponents and Scientific Notation
Revised 2013 - CCSS
Page 2 of 4
17. Your calculator displays the answer
2.76 E –4. Rewrite this answer using
scientific notation.
19. (SE) The length of a DVD case is given
as 6.25 101 units. Which is the most
reasonable unit of measure?
A. inches
B. feet
18. (SE) This division problem is entered
into a scientific calculator:
C. yards
D. miles
(6 E 8)  (3 E 4).
Which shows what the calculator may
display?
A.
2 E –4
B.
2E 4
20. Choose the most appropriate unit of
measurement for “average pace for a
walker”.
A. inches per hour
B. inches per year
C. miles per hour
D. miles per year
C. 1.8 E 12
D. 1.8 E 13
For problems 21 and 22 perform the indicated operation. Express your answer in scientific
notation.
.003
22.
21. 14.31106   1.8  105 
12 10 6
23. (SE) How much larger is 8  106 compared to 4 102 ?
A.
2000 times
B.
4000 times
C. 20,000 times
D. 40,000 times
24. (SBAC) Select all of the expressions that have a value between 0 and 1.
1
A.  
4
2
1
 
4
4
Pre-Algebra 8 Practice Test
B.
 2 
(2)
4
6
C.
95
9 3
D. 56  59
Unit 04: Exponents and Scientific Notation
Revised 2013 - CCSS
Page 3 of 4
25. (SE) The table below shows the diameter of several planets.
Planet
Diameter (miles)
Mercury
3031
Earth
7.926 103
Jupiter
88,734
Neptune
3.02 104
A. Express the diameter of Mercury in scientific notation.
B. Express the diameter of Neptune in standard notation.
C. List the diameter of all four planets from least to greatest. Explain how you got your answer.
Long term memory review:
26. Evaluate the expression: 17  3  2
Pre-Algebra 8 Practice Test
27. (SE) Solve the inequality for x.
4 x  24
Unit 04: Exponents and Scientific Notation
Revised 2013 - CCSS
Page 4 of 4