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Worksheets

exponents for 2022

Total questions: 101

Worksheet time: 3hrs 32mins

Name
Class
Date
1.
In order to multiply powers with the same base, we add their exponents. 
a)
True 
b)
False
2.
Simplify the expression: 
c4⋅c3=
a)
c12
b)
c4+3
c)
c7
3.
Simplify the expression: 3x2⋅x2=
a)
3x
b)
3x2+2
c)
3x4
4.
According to exponent rules, when we raise a power to another exponent we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
5.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
6.
Simplify 4-2
a)
1/16
b)
-16
c)
1/4
d)
-42
7.

When dividing powers with the same base, you _______________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

8.

x6 / x2

a)

x4

b)

x12

c)

x3

d)

x8

9.
a)
b)
c)
d)
10.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
11.
-4x0
a)
-4x
b)
-4
c)
1
d)
-1
12.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
13.
Write the following in expanded form. 
103
a)
10+10+10
b)
10x10x10
c)
3x10
d)
1,000
14.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
15.
Simplify (6x7)2
a)
12x14
b)
36x14
c)
6x14
d)
6x9
16.
Simplify the expression x5x7
a)
x35
b)
x12
c)
x2
d)
x-2
17.
40
a)
0
b)
1
c)
4
d)
-4
18.
Which is equivalent to 34 ?
a)
27
b)
9
c)
81
d)
12
19.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
20.
Which is equivalent to 24
a)
8
b)
20
c)
16
d)
12
21.
Which is equivalent to 4 x 4 x 4 x 4 x 4
a)
46
b)
54
c)
44
d)
45
22.
The exponent equivalent of 20 x 20 x 20 is:
a)
20 x 3
b)
203
c)
320
d)
2000
23.
Which number is the BASE?
2= 8
a)
2
b)
3
c)
8
d)
not here
24.
Which number is the EXPONENT?
42 = 16
a)
4
b)
2
c)
16
d)
not here
25.
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
26.
What operation do you use with exponents?
a)
addition
b)
subtraction
c)
multiplication
d)
division
27.
Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 ?
a)
75
b)
76
c)
67
d)
77
28.
Which number is the BASE?
2= 8
a)
2
b)
3
c)
8
d)
not here
29.

What is the value?

a)

45

b)

3,375

c)

14,348,907

d)

15

30.

What it the power as a product of the same factor AND the value?

a)

7,776

b)

5 x 5 x 5 x 5 x 5x 5

c)

30

d)

6 x 6 x 6 x 6 x 6

e)

15,625

31.

What is the value?

a)

100

b)

33,554,432

c)

25

d)

2,500

32.

Write 3 x 3 x 3 x 3 using an exponent.

a)

81

b)

34

c)

43

d)

12

33.

What would the exponent be if the product is 4 x 4 x 4 x 4 x 4?

a)

4

b)

5

c)

1,024

d)

20

34.

What is the base for the power 93?

a)

9

b)

3

c)

9 x 9 x 9

d)

3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3

e)

729

35.
A scientist reports that a bacteria culture contains 34 bacteria.
How many bacteria is that?
a)
12
b)
81
c)
7
d)
95
36.
Find the equivalent expression.
15×15×15×15
a)
154
b)
415
c)
15x4
d)
15+15+15+15
37.
Any number written to the 0 power is always 1
Example: 80=1
a)
True
b)
False
38.
34 is bigger than 43.
a)
True
b)
False
39.
Which one shows the numbers in order from biggest to smallest?
a)
32,23,61
b)
61,23,32
c)
22,61,32
40.
54=
a)
20
b)
625
c)
1024
41.
To square a number is to use what mathematical operation?
a)
Division
b)
Subtraction
c)
Multiplication
d)
Addition
42.
The exponent equivalent of 20 x 20 x 20 is
a)
20 x 3
b)
203
c)
320
43.
In the exponent 34, the three represents____________ ?
a)
power
b)
base
c)
exponent
d)
integers
44.
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
45.
25 is the same as 2 x 5.
a)
True
b)
False
46.
Choose the answer.
52
a)
10
b)
15
c)
20
d)
25
47.

Write (–2)5( –2)3( –2) in exponential form.

a)

(2)8\left(-2\right)^8  

b)

(2)9\left(-2\right)^9  

c)

(2)15\left(-2\right)^{15}  

d)

282^8  

48.

Write in exponential form: (23)(23)(23)(23)(23)Write\ in\ \exp onential\ form:\ \left(-\frac{2}{3}\right)\left(-\frac{2}{3}\right)\left(-\frac{2}{3}\right)\left(-\frac{2}{3}\right)\left(-\frac{2}{3}\right)  

a)

(23)8\left(-\frac{2}{3}\right)^8  

b)

(23)7\left(-\frac{2}{3}\right)^7  

c)

(23)6\left(-\frac{2}{3}\right)^6  

d)

(23)5\left(-\frac{2}{3}\right)^5  

49.

Identify the base(s) of 2a4b2c32a^4b^2c^3 .

a)

2,a, b, c

b)

a, b, c

c)

1, 4, 2, 3

d)

4, 2, 3

50.

Identify the powers of m5n2pq3m^5n^2pq^3 .

a)

m, n, p, q

b)

5, 2, 3

c)

5, 2, 1, 3

d)

10

51.

Which of the following is in exponenetial form?

a)

5 x 5 x 5

b)

53

c)

125

52.

Which of the following is in expanded form?

a)

5 x 5 x 5

b)

53

c)

125

53.

Which of the following is in standard form?

a)

25

b)

52

c)

5 X 5

54.

102 10^{2\ }   Identify the base 

a)

10

b)

2

55.

10210^2   Identify the exponent

a)

10

b)

2

56.

424^2  

 How would you say this?

a)

"Four Squared"

b)

"Four Cubed"

57.

535^3  How would you say this?

a)

"Five cubed"

b)

"Five squared"

58.

5 x 5 x 5

What is this form called?

a)

Expanded Form

b)

Exponential Form

59.

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

a)

737^3  

b)

373^7  

60.

242^4  How is this written in exponential form?

a)

2 x 2 x 2 x 2

b)

4 x 4

61.

242^4  Is equivalent to?

a)

8

b)

20

c)

16

d)

12

62.

What is nine cubed in exponential form?

a)

9 x 9 x 9

b)

939^3

63.

868^6  

What number is the base on this:

a)

6

b)

68

c)

86

d)

8

64.

434^3  What is the BASE?

a)

4

b)

3

c)

434^3  

d)

64

65.

80 =18^{0\ }=1  

Any number written to the 0 power is always 1

a)

True

b)

False

66.

27 2^{7\ }  or 727^2  

Which is GREATER?

a)

272^7  

b)

727^2  

c)

Neither, they are equal

67.

What does 53 mean?

a)

3 x 3 x 3 x 3 x 3

b)

5 x 5 x 5

c)

5 x 3

d)

3 x 5

68.

Find the value of 50.

a)

0

b)

1

c)

5

d)

50

69.

Compare 72 ___ 26

a)

>

b)

<

c)

=

70.

Compare 10 ____ 11

a)

>

b)

<

c)

=

71.

The value of any number to the power of 1 is the number itself.

a)

True

b)

False

c)

Maybe, it depends

72.

Check all that are equivalent to 16

a)

42

b)

2 • 2 • 2 • 2

c)

28

d)

24

e)

8 • 8

73.
According to exponent rules, when we multiply powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
74.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
75.
Simplify y0

a)
y
b)
0
c)
1
d)
1y
76.
Who is this?
a)
Elsa
b)
Aurora
c)
Snow White
d)
Cinderella
77.
What does this symbol represent?
a)
turn around
b)
walk in a triangle
c)
recycle
d)
loop around
78.
Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 
?
a)
75
b)
76
c)
67
d)
77
79.
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
80.
25 is the same as 2 x 5.
a)
True
b)
False
81.
What is nine cubed in exponential form?
a)
9 x 9 x 9 
b)
93
82.

Which is equivalent to 33

a)

27

b)

9

c)

81

d)

12

83.
Choose the answer.
52
a)
10
b)
15
c)
20
d)
25
84.

Which number is the VALUE?

24

a)

2

b)

4

c)

16

d)

8

85.
What is the value of 71 ?
a)
1
b)
7
c)
0
d)
14
86.
How do you say 4?
a)
4 squared
b)
3 quadrupled
c)
4 cubed
d)
4 to the power of 2
87.
What operation do you use with exponents?
a)
addition
b)
subtraction
c)
multiplication
d)
division
88.
Which is greater,  26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
89.

How would you say 262^6  in word form?

a)

Six to the second power

b)

Two and six

c)

Two to the sixth power

d)

64

90.

What does the zero exponent rule say?

a)

Anything to a zero exponent is ZERO

b)

Anything to a zero exponent is ONE

c)

Anything to a zero exponent is FIVE

d)

Anything to a zero exponent is TWO

91.

What does the product rule say?

a)

Multiply the BIG numbers and ADD the exponents

b)

Divide the BIG numbers and ADD the exponents

c)

Multiply the BIG numbers and SUBTRACT the exponents

d)

Divide the BIG numbers and SUBTRACT the exponents

92.

What does the quotient rule say?

a)

Multiply the BIG numbers and ADD the exponents

b)

Multiply the BIG numbers and SUBTRACT the exponents

c)

Divide the BIG numbers and ADD the exponents

d)

Divide the BIG numbers and SUBTRACT the exponents

93.

What does the negative exponent rule say?

a)

Move them & make them positive

b)

Do nothing

c)

Cry

d)

Move them & keep them negative

94.

Apply the exponent rules

a)

1

b)

2

c)

21

d)

-21

95.

Apply the exponent rules

a)
b)
c)
d)
96.

Which number is the BASE?

23 = 8

a)

2

b)

3

c)

8

97.
Which is GREATER?
27 or 72
a)
27
b)
72
c)
Neither, they are equal
98.

Which is greater, 26540 or 50?

a)

26540

b)

50

c)

They are the same

d)

Zero is greater

99.

54=

a)

20

b)

625

c)

1024

100.

Simplify using the exponent rules

a)
b)
c)
d)
101.

Simplify using the exponent rules: 8w0

a)

8

b)

1

c)

0

d)

25