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exponent

Total questions: 163

Worksheet time: 6hrs 15mins

Name
Class
Date
1.
Which number is the BASE?
23 = 8
a)
2
b)
3
c)
8
2.
Which number is the EXPONENT?
42 = 16
a)
4
b)
2
c)
16
3.

35

a)

15

b)

51

c)

125

d)

243

4.
What is the value of (-2)3?
a)
-8
b)
-6
c)
6
d)
8
5.

Simplify the expression

x5⋅x7x^5\cdot x^7  

a)

x35

b)

x12

c)

x2

d)

x-2

6.

Simplify

24⋅252^4\cdot2^5  

a)

220

b)

49

c)

420

d)

29

7.
a)
110
b)
126
c)
z10
d)
z26
8.
a)

43

b)

415

c)

13

d)

115

9.

How well do you understand the addition and subtraction rules of exponents?

a)

1: I don't understand it at all

b)

2: It makes sense but I need more practice

c)

3: I totally understand this!

10.
In order to multiply powers with the same base, we add their exponents. 
a)
True 
b)
False
11.
Simplify the expression: 
c4⋅c3=
a)
c12
b)
c4+3
c)
c7
12.
Simplify the expression: 3x2⋅x2=
a)
3x
b)
3x2+2
c)
3x4
13.
According to exponent rules, when we raise a power to another exponent we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
14.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
15.
Simplify 4-2= 
a)
1/16
b)
-16
c)
1/4
d)
-42
16.

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

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

17.

x6 / x2

a)

x4

b)

x12

c)

x3

d)

x8

18.
a)
b)
c)
d)
19.

x-3

a)

-x3

b)

1 / x3

c)

1 / x-3

d)

-x-3

20.
a)
b)
c)
d)
21.
a)
b)
c)
d)
22.
Simplify the following expression: 
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
23.

Write with positive exponents:

1/a-2

a)

a-2

b)

a2

c)

1/a1

24.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
25.
-4x0
a)
-4x
b)
-4
c)
1
d)
-1
26.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
27.

Simplify

(2a2b4z)(6a3b2z5)

a)

8a5b6z6

b)

12a6b8z5

c)

12a5b6z6

d)

8a6b8z5

28.

Simplify

a)

x4/3

b)

3x10

c)

36x10

d)

3x4

29.
a)
2 / x2
b)
-2x2
c)
2x2
d)
2x14
30.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
31.
According to exponent rules, when we multiply powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
32.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
33.

a)

A

b)

B

c)

C

d)

D

34.

a)

A

b)

B

c)

C

d)

D

35.

a)

A

b)

B

c)

C

d)

D

36.

a)

A

b)

B

c)

C

d)

D

37.

a)

A

b)

B

c)

C

d)

D

38.
a)

A

b)

B

c)

C

d)

D

39.
Simplify.
a)
y15
b)
y5
c)
y2
d)
2y5
40.
a)
b)
c)
d)
41.
Simplify.
a)
y60
b)
1/y16
c)
y-16
d)
y4
42.
(2m4)(5m2)
a)
10m6
b)
10m8
c)
7m6
d)
7m8
43.
(6x2)(-3x5)
a)
18x7
b)
-18x7
c)
18x7
d)
3x7
44.
What is the value of (-2)3?
a)
-8
b)
-6
c)
6
d)
8
45.
1.)  Simplify
 (2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
46.
Simplify         m12/ m3
a)
m12-3  = m9
b)
m12/3  = m4
c)
m-9
d)
-m9
47.
Evaluate the expression using the Same Base, Division rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
48.
a)
A
b)
B
c)
C
d)
D
49.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
50.
Which expression is FULLY simplified?
a)
A
b)
B
c)
C
d)
D
51.
Which of the expressions are equivalent to x6?
a)
only A and B
b)
only A and C
c)
only A, C and D
d)
All of the expressions
52.
a)
A
b)
B
c)
C
d)
D
53.
Simplify.  
a)
A
b)
B
c)
C
d)
D
54.
According to exponent rules, when we raise a power to another exponent we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
55.
42 * 42
a)
164
b)
42
c)
44
d)
82
56.
2n4 * 5n4
a)
7n4
b)
10n16
c)
10n8
d)
none of the above
57.
Simplify
x3⋅x2
a)
x6
b)
x5
c)
x
d)
x4
58.
Simplify
x4⋅x3⋅x
a)
x8
b)
x12
c)
x7
d)
x10
59.
Simplify
(x2)3
a)
x3
b)
x5
c)
x6
d)
x4
60.
Simplify
y8⋅y3
a)
y24
b)
y11
c)
y5
d)
y15
61.
Expand
(xy)3
a)
x⋅x⋅x⋅y
b)
xy⋅xy⋅xy
c)
x⋅y⋅y⋅y
d)
3x⋅3y
62.
Simplify
(y3)4
a)
y7
b)
y12
c)
y-1
d)
y8
63.
Simplify
a)
y2
b)
y35
c)
y12
d)
y14
64.
Simplify
a)
x12
b)
x17
c)
x6
d)
x23
65.
Simplify
a)
z
b)
z12
c)
1
d)
z14
66.
Expand 
x5
a)
x
b)
x⋅x⋅x
c)
x⋅x⋅x⋅x⋅x
d)
x⋅x
67.
Simplify
a)
z15
b)
z8
c)
z3
d)
z11
68.
Simplify
a)
1
b)
x2
c)
x18
d)
x11
69.
Simplify
a)
x4
b)
x6
c)
x29
d)
x20
70.
Expand
z4
a)
z
b)
z⋅z
c)
z⋅z⋅z
d)
z⋅z⋅z⋅z
71.
Expand fully. 
(x2)3
a)
x⋅x⋅x
b)
x2⋅x2⋅x2
c)
x⋅x⋅x⋅x⋅x⋅x
d)
x⋅x⋅x⋅x⋅x
72.
Simplify 
(z4)3⋅z4
a)
z11
b)
z16
c)
z5
d)
z28
73.
(xy)3⋅x2⋅y5
a)
x8y5
b)
x3y6
c)
x5y8
d)
x6y5
74.
Simplify
a)
75x6
b)
3x2
c)
75x2
d)
20x6
75.
Simplify
a)
x4/3
b)
3x10
c)
36x10
d)
3x4
76.
Simplify
a)
w24y9
b)
w11y6
c)
y3/w6
d)
w6/y3
77.
In order to multiply powers with the same base, we add their exponents. 
a)
True 
b)
False
78.
According to exponent rules, when we raise a power to another exponent we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
79.

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

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

80.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
81.

Which of the following is in exponential form?

a)

5 x 5 x 5

b)

125

c)

53

82.

Which of the following is in expanded form?

a)

5 x 5 x 5

b)

125

c)

53

83.

Which of the following is in standard form?

a)

25

b)

52

c)

5 X 5

84.

Write  757^5  in expanded form

a)

7 x 2

b)

7x 7 x 7 x 7 x 7

c)

526

d)

35

85.

10210^2  Identify the base 

a)

10

b)

2

86.

10210^2  Identify the exponent

a)

10

b)

2

87.
a)
x1/2
b)
x3
c)
x2
d)
x-2
88.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
89.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
90.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
91.
5x3 2x2
a)
10x5
b)
3x
c)
10x6
d)
7x5
92.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
93.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
94.
According to exponent rules, when we multiply powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
95.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
96.
n4⋅n7
a)
n11
b)
n4
c)
n28
d)
n7
97.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
98.
Rewrite using a positive exponent.
w-13
a)
-w13
b)
1/w13
c)
1/w-13
d)
w13
99.
Simplify the following expression: 
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
100.
Simplify.
4a-2 ⋅ 2ab3
a)
8b3/a3
b)
4b3/a
c)
6b3/a
d)
8b3/a
101.
Simplify (-4x)0
a)
-4x
b)
-4
c)
1
d)
-1
102.
Simplify y0

a)
y
b)
0
c)
1
d)
1y
103.
Simplify
a)
x28y12 / x2y
b)
x28y12 / x8y4
c)
x20y8
104.
Simplify
a)
9a3/6b3
b)
9a3/8b3
c)
27a3/8b3
d)
6a3/5b3
105.
Who is this?
a)
Elsa
b)
Aurora
c)
Snow White
d)
Cinderella
106.
What does this symbol represent?
a)
turn around
b)
walk in a triangle
c)
recycle
d)
loop around
107.

Simplify (evaluate):

3-3

a)

-27

b)

-9

c)

-1/9

d)

1/27

108.

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

a)

base, product

b)

exponent, base

c)

base, exponent

d)

product, base

109.

Write the product using exponents:

(-2) ⋅ (-2) ⋅ (-2) ⋅ (-2) ⋅ (-2)

a)

-25

b)

2-5

c)

(-2)5

d)

(-2)-5

110.
Simplify
a)
-1/125
b)
125
c)
-125
d)
1/125
111.

Any number written to the 0 power is always 1

Example: 80=1

a)

True

b)

False

c)

Sometimes

112.
Solve (-8)-2
a)
1/(-8)2
b)
1/82
c)
1/64
d)
-64
113.
Simplify
(-x)(-x)(-x)(-x)(-x)(-x)
a)
6
b)
6x6
c)
1/x6
d)
x6
114.
a)
36/25
b)
25/36
c)
12/10
d)
10/12
115.

Which is greater, 26540 or 50?

a)

26540

b)

50

c)

They are the same value

d)

Zero is greater

116.

Which of the following is not true about negative exponents?

a)

you must use the reciprocal of the base

b)

the answer is always negative

c)

you must keep the exponent positive and remove the negative sign

d)

a power is a combination of a base term and exponent

117.

simplify -62

a)

36

b)

12

c)

-36

d)

-12

118.

simplify (-4)3

a)

64

b)

-64

c)

12

d)

-12

119.

simplify (-3)4

a)

81

b)

-81

c)

12

d)

-12

120.

simplify -(2)4

a)

8

b)

16

c)

-8

d)

-16

121.

simplify -(-5)3

a)

15

b)

125

c)

-15

d)

-125

122.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
123.
According to exponent rules, when we multiply powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
124.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
125.

a)

A

b)

B

c)

C

d)

D

126.

a)

A

b)

B

c)

C

d)

D

127.

a)

A

b)

B

c)

C

d)

D

128.

a)

A

b)

B

c)

C

d)

D

129.

a)

A

b)

B

c)

C

d)

D

130.
a)

A

b)

B

c)

C

d)

D

131.
Simplify.
a)
y15
b)
y5
c)
y2
d)
2y5
132.
a)
b)
c)
d)
133.
Simplify.
a)
y60
b)
1/y16
c)
y-16
d)
y4
134.
In order to multiply powers with the same base, we add their exponents. 
a)
True 
b)
False
135.
According to exponent rules, when we raise a power to another exponent we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
136.

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

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

137.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
138.

Which of the following is in exponential form?

a)

5 x 5 x 5

b)

125

c)

53

139.

Which of the following is in expanded form?

a)

5 x 5 x 5

b)

125

c)

53

140.

Which of the following is in standard form?

a)

25

b)

52

c)

5 X 5

141.

Write  757^5  in expanded form

a)

7 x 2

b)

7x 7 x 7 x 7 x 7

c)

526

d)

35

142.

10210^2  Identify the base 

a)

10

b)

2

143.

10210^2  Identify the exponent

a)

10

b)

2

144.
In order to multiply powers with the same base, we add their exponents. 
a)
True 
b)
False
145.
Simplify the expression: 
c4⋅c3=
a)
c12
b)
c4+3
c)
c7
146.
Simplify the expression: 3x2⋅x2=
a)
3x
b)
3x2+2
c)
3x4
147.
According to exponent rules, when we raise a power to another exponent we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
148.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
149.
Simplify 4-2= 
a)
1/16
b)
-16
c)
1/4
d)
-42
150.

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

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

151.

x6 / x2

a)

x4

b)

x12

c)

x3

d)

x8

152.
a)
b)
c)
d)
153.

x-3

a)

-x3

b)

1 / x3

c)

1 / x-3

d)

-x-3

154.
a)
b)
c)
d)
155.
a)
b)
c)
d)
156.
Simplify the following expression: 
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
157.

Write with positive exponents:

1/a-2

a)

a-2

b)

a2

c)

1/a1

158.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
159.
-4x0
a)
-4x
b)
-4
c)
1
d)
-1
160.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
161.

Simplify

(2a2b4z)(6a3b2z5)

a)

8a5b6z6

b)

12a6b8z5

c)

12a5b6z6

d)

8a6b8z5

162.

Simplify

a)

x4/3

b)

3x10

c)

36x10

d)

3x4

163.
a)
2 / x2
b)
-2x2
c)
2x2
d)
2x14

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