Name _______________________________ Date __________________ Teacher _______________
CODE
60102
Practice A
Exponents
Name the base and the exponent for each of the following.
1. 72
2. 54
3. 68
base _____________
base _____________
base _____________
exponent _____________
exponent _____________
exponent _____________
4. 5
9
5. 10
7
6. 43
base _____________
base _____________
base _____________
exponent _____________
exponent _____________
exponent _____________
Write using exponents.
7. 4 ⋅ 4
8. 2 ⋅ 2 ⋅ 2
_______________________
10. 5 ⋅ 5 ⋅ 5 ⋅ 5
________________________
11. 3 ⋅ 3 ⋅ 3 ⋅ 3
_______________________
________________________
9. 10 ⋅ 10
________________________
12. 8 ⋅ 8 ⋅ 8 ⋅ 8 ⋅ 8
________________________
Write as repeated multiplication.
13. 62
_______________________
16. 9
4
_______________________
14. 53
________________________
17. 2
5
________________________
15. 103
________________________
18. 36
________________________
19. How many different ways can you use the digits 3 and 5 to write
expressions in exponential form? What are the expressions?
________________________________________________________________________________________
20. What do the following two expressions have in common?
“three to the second power” and “three squared”
________________________________________________________________________________________
60102SR.doc
Name _______________________________ Date __________________ Teacher _______________
CODE
60102
Practice B
Exponents
Write each expression in exponential form.
1. 9 ⋅ 9
2. 7 ⋅ 7 ⋅ 7
_______________________
3. 1 ⋅ 1 ⋅ 1 ⋅ 1 ⋅ 1
________________________
4. 5 ⋅ 5 ⋅ 5 ⋅ 5
5. 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2
_______________________
________________________
6. 10 ⋅ 10 ⋅ 10 ⋅ 10
________________________
________________________
Find each value.
7. 62
8. 53
_______________
11. 2
5
9. 103
_______________
12. 3
_______________
4
________________
13. 25
_______________
10. 72
1
________________
14. 160
________________
________________
Compare. Write <, >, or =.
15. 80 ___ 71
16. 102 ___ 112
17. 82 ___ 43
18. 34 ___ 52
19. 25 ___ 92
20. 62 ___ 33
21. What whole number equals 25 when it is squared and 125 when
it is cubed?
________________________________________________________________________________________
22. Use exponents to write the number 81 three different ways.
________________________________________________________________________________________
60102SR.doc
Name _______________________________ Date __________________ Teacher _______________
CODE
60102
Practice C
Exponents
Write each expression in exponential form.
1. 10 ⋅ 10 ⋅ 10 ⋅ 10
2. 7 ⋅ 7 ⋅ 7 ⋅ 7 ⋅ 7
_______________________
3. 4 ⋅ 4 ⋅ 4
________________________
________________________
Find each value.
4. 82 _______
5. 43 _______
6. 63 _______
8. 28 _______
9. 35 _______
10. 381 _______
7. 152 _______
11. 73 _______
Compare. Write <, >, or =.
12. 82 ___ 43
13. 92 ___ 52
14. 62 ___ 34
15. 72 ___ 24
16. 102 ___ 1001
17. 810 ___ 92
18. 42 + 5 ___ 33 – 7
19. 23 + 2 ___ 32 – 2
20. 25 − 10 ___ 42 + 6
21. It takes Cell A 3 hours to produce two cells. If you start with
Cell A, how many cells will you have in 24 hours?
________________________________________________________________________________________
22. Use exponents to complete the table.
Generation
Number of People
Exponent
Parents
2
21
Grandparents
4
22
Great Grandparents
Great-Great Grandparents
Great-Great-Great Grandparents
60102SR.doc
Name _______________________________ Date __________________ Teacher _______________
CODE
60102
Review for Mastery
Exponents
You can write a number in exponential form to show repeated
multiplication. A number written in exponential form has a base
and an exponent. An exponent tells you how many times a number,
called the base, is used as a factor.
84 ← exponent
↑
base
Write the expression in exponential form.
6⋅6⋅6
6 is used as a factor 3 times.
6 ⋅ 6 ⋅ 6 = 63
Write each expression in exponential form.
1. 8 ⋅ 8 ⋅ 8 ⋅ 8 ⋅ 8
_______________
2. 3 ⋅ 3
_______________
3. 5 ⋅ 5 ⋅ 5 ⋅ 5
________________
4. 7 ⋅ 7 ⋅ 7
________________
You can find the value of expressions in exponential form.
Find the value.
25
Step 1: Write the expression as repeated multiplication.
25 = 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2
Step 2: Multiply.
2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 = 32
25 = 32
Find each value.
5. 123
_______________
60102SR.doc
6. 65
_______________
7. 104
________________
8. 46
________________
Name _______________________________ Date __________________ Teacher _______________
Challenge
Exponent Riddle
What is the greatest number that can be written with
two digits?
Find the value of each expression below. Then in the box at the
bottom of the page, write each expression’s letter in the blank
above its value. When you have found all the values, you will
have solved the riddle.
CODE
60102
60102SR.doc
E
33
___________________________
H
52
___________________________
I
24
___________________________
N
340
___________________________
O
92
___________________________
P
43
___________________________
R
62
___________________________
T
72
___________________________
W
102
___________________________
Name _______________________________ Date __________________ Teacher _______________
CODE
60102
Problem Solving
Exponents
1. The Sun is the center of our solar
system. The Sun is the star closest to
our planet. The surface temperature
of the Sun is close to 10,000°F. Write
10,000 using exponents.
____________________________________________________________
3
3. William has 3 baseball cards and
43 football cards. Write the number
of baseball cards and footballs cards
that William has.
_______________________________________
2. Patty Berg has won 42 major
women’s titles in golf. Write 42
in standard form.
_______________________________________
4. Michelle recorded the number of
miles she ran each day last year.
She used the following expression to
represent the total number of miles:
3 ⋅ 3 ⋅ 3 ⋅ 3 ⋅ 3 ⋅ 3 ⋅ 3. Write this
expression using exponents. How
many miles did Michelle run last year?
_______________________________________
Choose the letter for the best answer.
5. In Tyrone’s science class he is
studying cells. Cell A divides every 30
minutes. If Tyrone starts with two cells,
how many cells will he have in 3
hours?
A 6 cells
B 32 cells
C 128 cells
D 512 cells
7. The Akashi-Kaiko Bridge is the
longest suspension bridge in the
world. It is located in Kobe-Naruto,
Japan and was completed in 1998.
It is about 38 feet long. Write the
approximate length of the AkashiKaiko Bridge in standard form.
A 6,561 feet
B 2,187 feet
C 512 feet
60102SR.doc
D 24 feet
Name _______________________________ Date __________________ Teacher _______________
6. Tanisha’s soccer team has a phone
CODE
tree in case a soccer game is
60102
postponed or cancelled. The coach
calls 2 families. Then each family calls
2 other families. How many families
will be notified during the 4th round of
calls?
8. The Strahov Stadium is the largest
sports stadium in the world. It is
located in Prague, Czech Republic. Its
capacity is about 125 people. Write
the capacity of the Strahov Stadium in
standard form.
F 60 people
F 2 families
G 144 people
G 4 families
H 20,736 people
H 8 families
J 248,832 people
J 16 families
Reading Strategies
Synthesize Information
Exponents are an efficient way to write repeated multiplication.
Read 24 → 2 to the fourth power
24 means 2 is a factor 4 times, or 2 ⋅ 2 ⋅ 2 ⋅ 2
Read 24 = 16 → 2 to the fourth power equals 16.
Exponent
Meaning
Value
103
10 to the third power
10 is a factor 3 times:
10 ⋅ 10 ⋅ 10
103 = 1,000
65
6 to the fifth power
6 is a factor 5 times:
6⋅6⋅6⋅6⋅6
65 = 7,776
Answer each question.
1. Write in words how you would read 34.
2. What does 34 mean?
_______________________________________________
_________________________________________________________________
3. What is the value of 34?
______________________________________________________________
4. Write in words how you would read 53.
5. Write 53 as repeated multiplication.
6. What is the value of 53?
_______________________________________________
___________________________________________________
______________________________________________________________
7. Tell why 23 is not 2 ⋅ 3.
________________________________________________________________________________________
60102SR.doc
Name _______________________________ Date __________________ Teacher _______________
4
8.
Is 3 the same as 43? _________________ Explain why or why not.
CODE
60102
________________________________________________________________________________________
Puzzles, Twisters & Teasers
Answer This!
What are the only land mammals that cannot jump?
To find the answer:
1. Use a ruler to match each number and its value.
(Each line you draw will cross a number and a letter)
2. Write the letter under the matching number in the decoder.
64
36
93
243
62
343
35
1,296
73
1,000
83
729
103
512
60102SR.doc
Name _______________________________ Date __________________ Teacher _______________
26
64
3
4
3
1
_______
_______
_______
_______
DECODER
2
5
_______
_______
6
7
8
_______
_______
_______
CODE
60102
Answers
LESSON 1-2
Practice A
1.
3.
5.
7.
9.
11.
7; 2
6; 8
10; 7
42
102
34
2.
4.
6.
8.
10.
12.
5; 4
5; 9
4; 3
23
54
85
13. 6 ⋅ 6
14. 5 ⋅ 5 ⋅ 5
15. 10 ⋅ 10 ⋅ 10
16. 9 ⋅ 9 ⋅ 9 ⋅ 9
17. 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2
18. 3 ⋅ 3 ⋅ 3 ⋅ 3 ⋅ 3 ⋅ 3
19. two ways; 35 and 53
2
20. They both mean 3 ⋅ 3, or 3 .
Practice B
1.
3.
5.
7.
9.
11.
13.
92
15
26
36
1,000
32
25
15. <
60102SR.doc
2.
4.
6.
8.
10.
12.
14.
73
54
104
125
49
81
1
16. <
17. =
18. >
19. <
21. 5
20. >
22. 811; 92; 34
Practice C
1.
3.
5.
7.
9.
104
43
64
225
243
2.
4.
6.
8.
10.
75
64
216
256
38
11. 343
13. >
12. =
14. <
15. >
16. =
17. <
18. >
19. >
21. 256 cells
22.
Generation
20. =
Parents
Grandparents
Great
Grandparents
Great-Great
Grandparents
Great-GreatGreat
Number
of People
2
4
Exponent
8
23
16
24
32
25
21
22
Grandparents
Review for Mastery
1. 85
3. 54
5.1,728
7.10,000
2.
4.
6.
8.
32
73
7,776
4,096
Challenge
27; 25; 16; 1; 81; 64; 36; 49; 100
NINE TO THE
NINTH POWER
Problem Solving
1. 104
2. 16
3. 27 baseball cards and
64 football cards
4. 37; 2,187 miles
5. C
6. J
7. A
8. J
Reading Strategies
1.
2.
3.
4.
5.
7.
three to the fourth power
three is a factor 4 times: 3 ⋅ 3 ⋅ 3 ⋅ 3
34 = 81
five to the third power
5⋅5⋅5
6. 53 = 125
23 means 2 ⋅ 2 ⋅ 2, and 2 ⋅ 3 means 3
+ 3.
8. no;
Possible answer: 3 ⋅ 3 ⋅ 3 ⋅ 3 is not the
same as 4 ⋅ 4 ⋅ 4.
Puzzles, Twisters & Teasers
60102SR.doc
ELEPHANTS
60102SR.doc