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exponents

Total questions: 45

Worksheet time: 1hrs 24mins

Name
Class
Date
1.

In order to multiply powers with the same base, we add their exponents. 

(a)  

2.

Simplify the expression: 3x2⋅x2=

(a)  

3.
According to exponent rules, when we raise a power to another exponent we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
4.

(2⁸)²

(a)  

5.
Simplify 4-2= 
a)
1/16
b)
-16
c)
1/4
d)
-42
6.

x6 / x2

a)

x4

b)

x12

c)

x3

d)

x8

7.
a)
b)
c)
d)
8.

x-3

a)

-x3

b)

1 / x3

c)

1 / x-3

d)

-x-3

9.
a)
b)
c)
d)
10.

Write with positive exponents:

1/a-2

a)

a-2

b)

a2

c)

1/a1

11.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
12.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
13.

Simplify

(2a2b4z)(6a3b2z5)

a)

8a5b6z6

b)

12a6b8z5

c)

12a5b6z6

d)

8a6b8z5

14.
a)
2 / x2
b)
-2x2
c)
2x2
d)
2x14
15.

How do you use exponents to represent numbers?

a)

repeated multiplication

b)

repeated addition

c)

repeated subtraction

d)

repeated division

16.

What does the term "squared" mean?

a)

raised to the power of 3

b)

raised to the power of 4

c)

raised to the power of 2

17.

What is the property of zero as an exponent mean?

a)

the value of any nonzero number raised to the power of 0 is 0.

b)

the value of any nonzero number raised to the power of 0 is 2.

c)

the value of any nonzero number raised to the power of 0 is -1.

d)

the value of any nonzero number raised to the power of 0 is 1.

18.

Which is equivalent to 24?

a)

8

b)

20

c)

16

d)

12

19.

Which is GREATER?

27 or 72

a)

27

b)

72

c)

Neither, they are equal

20.

What is nine cubed in exponential form?

a)

9 x 9 x 9

b)

93

21.

To square a number is to use what mathematical operation?

a)

Division

b)

Subtraction

c)

Multiplication

d)

Addition

22.

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

23.

In the exponent 34, the three represents____________ ?

a)

power

b)

base

c)

exponent

d)

integers

24.

25 is the same as 2 x 5.

a)

True

b)

False

25.
simplify 5x3 2x2
a)
10x5
b)
3x
c)
10x6
d)
7x5
26.
m ⋅ m5 ⋅ m6
a)
m30
b)
m12
c)
12m
d)
mm11
27.
Which number is the BASE?
23 = 8
a)
2
b)
3
c)
8
28.
Which number is the EXPONENT?
42 = 16
a)
4
b)
2
c)
16
29.
What special word do you use for the exponent of 2?
a)
squared
b)
cubed
c)
triangled
d)
boxed
30.
What is the exponent form for the factors
5 x 5 x 5?
a)
35
b)
53
31.
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
32.
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
33.
Simplify the expression.
a)
1/y5
b)
1/y2
c)
y2
d)
y5
34.
Simplify.
a)
x7
b)
1/x3
c)
x3
d)
1/x7
35.
a)
8x4
b)
8x8
c)
6x4
d)
6x8
36.
Simplify.
a)
y5
b)
y15
c)
1/y2
d)
1/y5
37.

Simplify. Express using exponents.

a)

80

b)

81

c)

88

d)

86

38.

Simplify. Express using exponents.

a)

b7

b)

b8

c)

b10

d)

b17

39.

Simplify. Express using exponents.

a)

11m4n5

b)

16m4n6

c)

24m4n5

d)

24m4n6

40.

Simplify. Express using exponents.

a)

12x6y4

b)

12x10y6

c)

22x10y6

d)

12x6y6

41.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
42.

Find the sum.

(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)

a)

2x2 + 3x +1

b)

-2x2 - 11x -4

c)

2x2+ 5x -7

d)

-2x2 + 11x -4

43.

Find the difference.

(3- 2x + 2x2) - (4x -5 +3x2)

a)

x2 + 6x + 8

b)

5x2 - 2x - 2

c)

-x2 -6x + 8

d)

-2x2 + 11x - 4

44.

Add the polynomials.

(2x + 5y) + (3x - 2y)

a)

3x + 5y

b)

5x + 3y

c)

5x + 7y

d)

7xy + 1xy

45.

Add or Subtract to Simplify:

(4x2+ x) - (x2 -2x)

a)

3x2 - x

b)

4x2 + 2x

c)

3x2 + 3x

d)

3x2 + 2x

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