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Worksheets

EXPONENTS

Total questions: 220

Worksheet time: 7hrs 20mins

Name
Class
Date
1.
Which number is the BASE?
2= 8
a)
2
b)
3
c)
8
d)
not here
2.
What operation do you use with exponents?
a)
addition
b)
subtraction
c)
multiplication
d)
division
3.
What is the value of 1000?
a)
1
b)
0
c)
100
4.
What is the exponent form for 
6?
a)
60
b)
61
c)
6×1
d)
0
5.
Write each product using an exponent. 
7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 
a)
77
b)
78
c)
87
d)
79
6.
Which is greater,  26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
7.

(-5)3

a)

-15

b)

125

c)

-125

d)

-625

8.
Simplify to an equivalent expression BUT leave in exponent form. (use product rule)
                                   43⋅45
a)
48
b)
168
c)
415
d)
1615
9.
a)
x1/2
b)
x3
c)
x2
d)
x-2
10.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
11.
5³⋅5⁴
a)
5⁷
b)
5⁻¹
c)
5¹²
d)
5
12.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
13.
3⁻⁴
a)
1 ⁄ 34
b)
-34
c)
34
d)
1 ⁄ 12
14.
Which is greater,  26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
15.
Simplify.
2-3 ⋅ 2-4
a)
1/128
b)
2-7
c)
212
d)
27
16.
a)
k = 152
b)
k = 176
c)
k = 5
d)
k = 27
17.
Find the variable.
13 + q = 56
a)
43
b)
40
c)
q
d)
42
18.
x - 8 = -5 
a)
13
b)
-13
c)
3
d)
-3
19.
5.    6b = 30
a)
x = 36
b)
x = 24
c)
x = 180
d)
x = 5
20.
-4x + 1 = 21
a)
x=120
b)
x=5
c)
x=30
d)
x=-5
21.

What is 2 to the power 5 equal to?

a)

16

b)

7

c)

32

d)

25

22.

How can we write 7x7x7x7x7x7x7x7 in index notation??

a)

7^8

b)

8^7

c)

77777777

d)

8888888

23.

What is 3^4

a)

7

b)

81

c)

27

d)

34

24.

what is 854^0???

a)

854

b)

0

c)

1

d)

Not sure

25.

 Find the value of 3^2x3^2

a)

36

b)

81

c)

99

d)

Not sure

26.

What is 2^7

a)

64

b)

32

c)

124

d)

None of the above

27.

What is 3^7 ÷\div  3^4

a)

3^3

b)

3^11

c)

6^4

d)

Don't know

28.

What is 6^14 divided by 6^12

a)

6^26

b)

12^14

c)

12^12

d)

6^2

29.

What is 8^8^8^8^8 in index notation?

a)

88888

b)

8^5

c)

5^8

d)

None of the above

30.

Pick the exponent

a)

7^2

b)

7.2

c)

77.2

d)

77%

31.

What is 7^2+2^4

a)

65

b)

56

c)

7224

d)

96

32.

How many of the numbers are exponents?? Pick all that apply

a)

7^89

b)

7.89

c)

8^7

d)

6.45

e)

332^75

33.

How do'ya feel??

a)

GREAT

b)

NOT GREAT

c)

OK

d)

DONT WANNA SHARE IT

e)

BORED

34.
How do you write 2 x 2 x 2 x 2 with an exponent?
a)
42
b)
24
c)
22
35.
What is 33?
a)
6
b)
9
c)
27
d)
54
36.
According to exponent rules, when we multiply powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
37.
Simplify (24)(25)
a)
220
b)
49
c)
420
d)
29
38.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
39.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
40.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
41.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
42.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
43.
Simplify y0

a)
y
b)
0
c)
1
d)
1y
44.
Rewrite using a positive exponent.
w-13
a)
-w13
b)
1/w13
c)
1/w-13
d)
w13
45.
Which number is the BASE?
2= 8
a)
2
b)
3
c)
8
46.
Which number is the EXPONENT?
42 = 16
a)
4
b)
2
c)
16
47.
What is the exponent form for the factors
5 x 5 x 5?
a)
35
b)
53
48.
What are the factors for 54?
a)
5 x 5 x 5
b)
4 x 4 x 4 x 4 x 4
c)
5 x 5 x 5 x 5
49.
What operation do you use with exponents?
a)
addition
b)
subtraction
c)
multiplication
d)
division
50.
Which is the expanded form of 
53
a)
3 x 3 x 3
b)
5 x 5
c)
5 x 5 x 5
d)
5 x 3
51.
What is the exponential form of 
4 x 4 x 4 x 4 x 4 x 4
a)
64
b)
42
c)
46
d)
4 x 6
52.
Which is equivalent to 24
a)
8
b)
20
c)
16
d)
12
53.
Which is equivalent to 34
a)
27
b)
9
c)
81
d)
12
54.
How would you represent 8⁶ ?
a)
8 x 6
b)
8 x 8 x 6
c)
8 x 8 x 8 x 8 x 8 x 8
d)
6 x 6 x 6 x 6 x 6 x 6 x 6 x 6
55.

52 , in this example, 5 is the ______ and 2 is the _______

a)

base, product

b)

exponent, base

c)

base, exponent

d)

product, base

56.

Any number written to the 0 power is always 1

Example: 80=1

a)

True

b)

False

c)

Sometimes

57.
Which number is the BASE?
2= 8
a)
2
b)
3
c)
8
58.
What special word do you use for the exponent of 2?
a)
squared
b)
cubed
c)
triangled
d)
boxed
59.
n4⋅n7
a)
n11
b)
n4
c)
n28
d)
n7
60.
Simplify y0

a)
y
b)
0
c)
1
d)
1y
61.
Simplify (24)(25)
a)
220
b)
49
c)
420
d)
29
62.
Simplify the expression x5x7
a)
x35
b)
x12
c)
x2
d)
x-2
63.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
64.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
65.
Which reads "two to the fourth power?"
a)
24
b)
42
c)
24
d)
42
66.
5³⋅5⁴
a)
5⁷
b)
5⁻¹
c)
5¹²
d)
5
67.
According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c6 ⋅ c4
a)
add
b)
subtract
c)
multiply
d)
divide
68.
According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h8 / h3
a)
add
b)
subtract
c)
multiply
d)
divide
69.
a)
x4
b)
x8
c)
x12
d)
x20
70.

How would you write 6x6x6x6 using an exponent?

a)

46

b)

64

c)

24

d)

1,296

71.

The base number in 35 is

a)

3

b)

5

72.

The exponent in 42 is

a)

4

b)

2

73.

25 is the same as 2x5

a)

True

b)

False

74.

What is 15?

a)

15

b)

5

c)

1

d)

51

75.

What is 103 ?

a)

100

b)

30

c)

300

d)

1000

76.

What is 53 in standard form?

a)

5x5x5

b)

3x3x3x3x3

c)

125

d)

243

77.

What is 44 in expanded form?

a)

16

b)

256

c)

4x4x4x4

d)

4x4

78.

Any number to the power of 1 equals

a)

1

b)

10

c)

Itself

d)

0

79.

The amount of times that a number appears as the factor in a product is called the

a)

Base

b)

Power

c)

Multiplication

d)

Exponent

80.

Exponents are the little numbers that ride on the shoulders of the __________ number

a)

Base

b)

Product

c)

Factor

d)

Multiplication

81.

25 in exponential form is

a)

5x5

b)

5x2

c)

52

d)

25

82.

A parking lot at Lincoln Financial Field has 9 lanes for cars and 9 rows for cars in each lane.


What is the exponential notation for the number of spaces in the lot?


Can the owner park 100 cars in the lot?

a)

18; No

b)

81; No

c)

18; Yes

d)

81; Yes

83.

4 squared is the same as

a)

42

b)

43

c)

44

d)

41

84.

Six cubed is the same as

a)

62

b)

63

c)

64

d)

61

85.
Which expression is equivalent to 34?
a)
3+3+3+3
b)
4+4+4
c)
4x4x4
d)
3x3x3x3
86.
Which expression has the largest value?
a)
62
b)
26
c)
110
d)
101
87.
70 is equivalent to:
a)
7
b)
0
c)
1
d)
1/7
88.
Which expression is equivalent to 106?
a)
1,000,000
b)
60
c)
3,294,360
d)
600
89.
Which expression is not equivalent to 81?
a)
34
b)
92
c)
811
d)
273
90.

a)

Option 1

b)

Option 2

c)

Option 3

d)

Option 4

91.

Evaluate.

a)

9

b)

6

c)

12

d)

18

92.

Evaluate.

a)

81

b)

18

c)

92

d)

9

93.

Find the missing exponent.

a)

1

b)

3

c)

2

d)

4

94.

Find the missing exponent.

a)

3

b)

2

c)

1

d)

4

95.

Find the missing exponent.

a)

2

b)

3

c)

1

d)

0

96.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
97.
Which is equivalent to 34 ?
a)
27
b)
9
c)
81
d)
12
98.
How would you represent 8⁶ ?
a)
8 x 6
b)
8 x 8 x 6
c)
8 x 8 x 8 x 8 x 8 x 8
d)
6 x 6 x 6 x 6 x 6 x 6 x 6 x 6
99.
Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 ?
a)
75
b)
76
c)
67
d)
77
100.

Which of the following is in exponenetial form?

a)

5 x 5 x 5

b)

53

c)

125

101.

Which of the following is in expanded form?

a)

5 x 5 x 5

b)

53

c)

125

102.

Which of the following is in standard form?

a)

25

b)

52

c)

5 X 5

103.

Write   

 757^5  in expanded form

a)

7 x 2

b)

526

c)

7x 7 x 7 x 7 x 7

d)

35

104.

 102 10^{2\ }   Identify the base 

a)

10

b)

2

105.

 10210^2   Identify the exponent

a)

10

b)

2

106.

 424^2  

 How would you say this?

a)

"Four Squared"

b)

"Four Cubed"

107.

 535^3  How would you say this?

a)

"Five cubed"

b)

"Five squared"

108.

5 x 5 x 5

What is this form called?

a)

Expanded Form

b)

Exponential Form

109.

7 x 7 x 7
How is this written in exponential form?

a)

 737^3  

b)

 373^7  

110.

 242^4  How is this written in exponential form?

a)

2 x 2 x 2 x 2

b)

4 x 4

111.

 454^5  

What is this in expanded form?

a)

5 x 5 x 5 x 5

b)

4 x 4 x 4 x 4

c)

5 x 5 x 5 x 5 x 5

d)

4 x 4 x 4 x 4 x 4

112.

 242^4  Is equivalent to?

a)

8

b)

20

c)

16

d)

12

113.

What is nine cubed in exponential form?

a)

9 x 9 x 9

b)

939^3

114.

 25 2^{5\ }  is the same as 2 x 5.

a)

True

b)

False

115.

 868^6  

What number is the base on this:

a)

6

b)

68

c)

86

d)

8

116.

 434^3  What is the BASE?

a)

4

b)

3

c)

 434^3  

d)

64

117.

 80 =18^{0\ }=1  

Any number written to the 0 power is always 1

a)

True

b)

False

118.

 27 2^{7\ }  or 727^2  

Which is GREATER?

a)

 272^7  

b)

 727^2  

c)

Neither, they are equal

119.

A scientist reports that a bacteria culture contains three to the forth power bacteria. How many bacteria is that?

a)

12

b)

81

c)

7

d)

95

120.
Which expression is equivalent to 34?
a)
3+3+3+3
b)
4+4+4
c)
4x4x4
d)
3x3x3x3
121.
Which expression has the largest value?
a)
62
b)
26
c)
110
d)
101
122.
70 is equivalent to:
a)
7
b)
0
c)
1
d)
1/7
123.
Which expression is equivalent to 106?
a)
1,000,000
b)
60
c)
3,294,360
d)
600
124.
Which expression is not equivalent to 81?
a)
34
b)
92
c)
811
d)
273
125.

a)

Option 1

b)

Option 2

c)

Option 3

d)

Option 4

126.

Evaluate.

a)

9

b)

6

c)

12

d)

18

127.

Evaluate.

a)

81

b)

18

c)

92

d)

9

128.

Find the missing exponent.

a)

1

b)

3

c)

2

d)

4

129.

Find the missing exponent.

a)

3

b)

2

c)

1

d)

4

130.

Find the missing exponent.

a)

2

b)

3

c)

1

d)

0

131.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
132.
Which is equivalent to 34 ?
a)
27
b)
9
c)
81
d)
12
133.
How would you represent 8⁶ ?
a)
8 x 6
b)
8 x 8 x 6
c)
8 x 8 x 8 x 8 x 8 x 8
d)
6 x 6 x 6 x 6 x 6 x 6 x 6 x 6
134.
Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 ?
a)
75
b)
76
c)
67
d)
77
135.
Which expression is in expanded form?
a)
53
b)
5x5x5
c)
125
d)
53
136.
Which expression is equivalent to 34?
a)
3+3+3+3
b)
4+4+4
c)
4x4x4
d)
3x3x3x3
137.
Which expression has the largest value?
a)
62
b)
26
c)
110
d)
101
138.
70 is equivalent to:
a)
7
b)
0
c)
1
d)
1/7
139.
Which expression is equivalent to 106?
a)
1,000,000
b)
60
c)
3,294,360
d)
600
140.
Which expression is not equivalent to 81?
a)
34
b)
92
c)
811
d)
273
141.
√16 is equal to-
a)
-16
b)
4
c)
256
d)
8
142.
15 is the square root of-
a)
225
b)
30
c)
45
d)
300
143.
Which is the larger value?
a)
102
b)
√10,000
c)
they are the same
144.
√70 is closest to which whole number?
a)
8
b)
35
c)
7
d)
9
145.
8Which number is the base of this expression?
a)
8
b)
4
c)
There is not base. Who needs a base?
146.
Any number written to the 0 power is always 1
Example: 80=1
a)
True
b)
False
147.
Which is equivalent to 4 x 4 x 4 x 4 x 4
a)
46
b)
54
c)
44
d)
45
148.
Which is equivalent to 3in standard form?
a)
27
b)
9
c)
81
d)
12
149.
What is equivalent to 5 squared?
a)
25
b)
10
c)
55
d)
30
150.
Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 in exponential form?
a)
75
b)
76
c)
67
d)
77
151.
How do you correctly say 43
a)
4 squared
b)
3 quadrupled
c)
4 cubed
d)
4 to the power of 2
152.
A scientist reports that a bacteria culture contains 34 bacteria.
How many bacteria is that?
a)
12
b)
81
c)
7
d)
95
153.
What is the exponential expression of this multiplication sentence? 
6 x 6 x 6 x 6 x 6 x 6 x 6
a)
6 to the 7th power
b)
6 to the 8th power
c)
7 to the 9th power
d)
10 to the 5th power
154.
How would you represent 8⁶ in factor form? 
a)
8 x 6
b)
8 x 8 x 6
c)
8 x 8 x 8 x 8 x 8 x 8
d)
6 x 6 x 6 x 6 x 6 x 6 x 6 x 6
155.
Which is equivalent to 24?
a)
8
b)
20
c)
16
d)
12
156.
What special word do you use for the exponent of 2?
a)
squared
b)
cubed
c)
triangled
d)
boxed
157.
What is nine cubed in exponential form?
a)
9 x 9 x 9 
b)
93
158.
Which is greater,  26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
159.
What is the exponent form for 
6?
a)
60
b)
61
c)
6
160.
A scientist reports that a bacteria culture contains 34 bacteria.
How many bacteria is that?
a)
12
b)
81
c)
7
d)
95
161.
How do you write 2 x 2 x 2 x 2 with an exponent?
a)
42
b)
24
c)
22
162.
Find the equivalent expression.
15×15×15×15
a)
154
b)
415
c)
15x4
d)
15+15+15+15
163.
Any number written to the 0 power is always 1
Example: 80=1
a)
True
b)
False
164.
34 is bigger than 43.
a)
True
b)
False
165.
Which one shows the numbers in order from biggest to smallest?
a)
32,23,61
b)
61,23,32
c)
22,61,32
166.
54=
a)
20
b)
625
c)
1024
167.
Find the equivalent expression.

9 x 9 x 9 x 9 x 9
a)
95
b)
915
c)
9 x 5
d)
9 + 9 + 9 + 9+ 9
168.
To square a number is to use what mathematical operation?
a)
Division
b)
Subtraction
c)
Multiplication
d)
Addition
169.
The exponent equivalent of 20 x 20 x 20 is
a)
20 x 3
b)
203
c)
320
170.
What is the number in a power that tells how many times the base is used as a factor?
a)
Expression
b)
Exponent
c)
Factor
d)
Term
171.
In the exponent 34, the three represents____________ ?
a)
power
b)
base
c)
exponent
d)
integers
172.
What is the power to this problem?
6 x 6 x 6 x 6 x 6 x 6 x 6
a)
6 to the 7th power
b)
6 to the 8th power
c)
7 to the 9th power
d)
10 to the 5th power
173.
25 is the same as 2 x 5.
a)
True
b)
False
174.
Choose the answer.
52
a)
10
b)
15
c)
20
d)
25
175.
56= ?
a)
56
b)
0
c)
1
d)
65
176.

Which number is the BASE?

23 = 8

a)

2

b)

3

c)

8

d)

I don't know, request me for Tiger Time for help please!

177.
What operation do you use with exponents?
a)
addition
b)
subtraction
c)
multiplication
d)
division
178.

What is the value?

a)

45

b)

3,375

c)

14,348,907

d)

15

179.
Which is equivalent to 34 ?
a)
27
b)
9
c)
81
d)
12
180.

Write in exponential form.

8x8x8

a)

64

b)

838^3  

c)

888^8  

d)

512

181.

Write in exponential form.

27x27x27x27

a)

4274^{27}  

b)

27427^4  

182.

Find the value.

252^5  

a)

2x5

b)

16

c)

10

d)

32

183.

Find the value.

14214^2  

a)

28

b)

96

c)

196

d)

128

184.

Find the value.

10310^3  

a)

10

b)

30

c)

1000

d)

100

185.

Find the value.

343^4  

a)

81

b)

7

c)

64

d)

12

186.

Find the value.

434^3  

a)

1

b)

81

c)

64

d)

12

187.

Identify the base.

12812^8  

a)

128

b)

12

c)

8

d)

1

188.

Identify the exponent.

737^3  

a)

343

b)

3

c)

7

d)

21

189.

Write in expanded form.

13513^5  

a)

371,293

b)

13x13x13x13x13

c)

13x5

d)

135

190.

Write in standard form.

929^2  

a)

18

b)

81

c)

9x9

d)

929^2  

191.
How do you write 2 x 2 x 2 x 2 with an exponent?
a)
42
b)
24
c)
22
192.
Any number written to the 0 power is always 1
Example: 80=1
a)
True
b)
False
193.
54=
a)
20
b)
625
c)
1024
194.
Find the equivalent expression.

9 x 9 x 9 x 9 x 9
a)
95
b)
915
c)
9 x 5
d)
9 + 9 + 9 + 9+ 9
195.
What does the ( E )in PEMDAS mean?
a)
experience
b)
exponents
c)
examples
d)
evidence
196.
True or false:
Addition ALWAYS comes before subtraction.
a)
True
b)
False
197.
What does the ( E )in PEMDAS mean?
a)
experience
b)
exponents
c)
examples
d)
evidence
198.
How do you write this in exponent form?
4 * 4 * 4 * 4 * 4 * 4 * 4 * 4
a)
47
b)
65,536
c)
48
d)
74
199.
What is 52 + 33?
a)
85
b)
14
c)
156
d)
52
200.
What is 33?
a)
6
b)
9
c)
27
d)
54
201.
How do you write 2 x 2 x 2 x 2 with an exponent?
a)
42
b)
24
c)
22
202.
Any number written to the 0 power is always 1
Example: 80=1
a)
True
b)
False
203.
54=
a)
20
b)
625
c)
1024
204.
Find the equivalent expression.

9 x 9 x 9 x 9 x 9
a)
95
b)
915
c)
9 x 5
d)
9 + 9 + 9 + 9+ 9
205.
What does the ( E )in PEMDAS mean?
a)
experience
b)
exponents
c)
examples
d)
evidence
206.
True or false:
Addition ALWAYS comes before subtraction.
a)
True
b)
False
207.
What does the ( E )in PEMDAS mean?
a)
experience
b)
exponents
c)
examples
d)
evidence
208.
How do you write this in exponent form?
4 * 4 * 4 * 4 * 4 * 4 * 4 * 4
a)
47
b)
65,536
c)
48
d)
74
209.
What is 52 + 33?
a)
85
b)
14
c)
156
d)
52
210.
What is 33?
a)
6
b)
9
c)
27
d)
54
211.

Simplify 83

a)

512

b)

24

c)

4096

d)

288

212.

(-5)3

a)

-15

b)

125

c)

-125

d)

-625

213.

(-1)6

a)

-1

b)

1

c)

6

d)

-6

214.

-34

a)

-81

b)

81

c)

-12

d)

-27

215.

Is (-4)6 positive or negative?

a)

Positive

b)

Negative

216.

Is -210 positive or negative?

a)

Positive

b)

Negative

217.

Which is larger?

53 or 35

a)

53

b)

35

c)

They are equal

218.

Which is larger?

15 or 18

a)

15

b)

18

c)

They are equal

219.

Which is larger?

(-3)2 or -32

a)

(-3)2

b)

-32

c)

They are equal

220.

Simplify:

102 ÷ (32 - 22)

a)

20

b)

10

c)

50

d)

25