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Writing Products as Powers - Worksheet

Total questions: 40

Worksheet time: 21mins

Name
Class
Date
1.

What does the base represent in a power?

a)

The number being multiplied

b)

The number of times the base is multiplied

c)

The answer to the multiplication

d)

The exponent

2.

What does the exponent in a power tell you?

a)

How many times the base is multiplied

b)

The value of the base

c)

The answer to the multiplication

d)

The number being multiplied

3.

Which of the following is written as a power?

a)

2 × 2 × 2

b)

c)

2 + 2 + 2

d)

2 - 2 - 2

4.

If you see the product 5 × 5 × 5 × 5, how can you write it as a power?

a)

5⁴

b)

4⁵

c)

d)

5.

In the expression 3⁴, what is the base?

a)

3

b)

4

c)

7

d)

12

6.

How can you write the product 2 × 2 × 2 × 2 × 2 as a power?

a)

252^5

b)

242^4

c)

525^2

d)

222^2

7.

What is the correct way to write 7 × 7 × 7 using exponents?

a)

737^3

b)

373^7

c)

727^2

d)

323^2

8.

Which of the following is equal to 10 × 10 × 10 × 10?

a)

10410^4

b)

4104^{10}

c)

10310^3

d)

10210^2

9.

If you had to explain your reasoning for writing repeated multiplication as a power, what would you say?

a)

Repeated multiplication of the same number can be written as a base with an exponent showing how many times it is multiplied.

b)

You add the numbers together.

c)

You divide the numbers.

d)

You subtract the numbers.

10.

What is the first step to find the value of a power?

a)

Multiply the base by itself as many times as the exponent indicates

b)

Add the base and the exponent together

c)

Subtract the exponent from the base

d)

Divide the base by the exponent

11.

What is the value of 2³?

a)

8

b)

6

c)

4

d)

9

12.

How would you explain the process of finding the value of a power to a classmate?

a)

By multiplying the base by itself as many times as the exponent shows

b)

By adding the base and exponent together

c)

By dividing the base by the exponent

d)

By subtracting the exponent from the base

13.

What is the value of 5²?

a)

10

b)

15

c)

25

d)

20

14.

What is the value of 4³?

a)

8

b)

16

c)

64

d)

12

15.

What is the value of 3⁴?

a)

12

b)

27

c)

81

d)

9

16.

Which of the following problems requires multiplying the most numbers together?

a)

b)

c)

3⁴

d)

17.

What is a perfect square?

a)

A number that is the product of an integer multiplied by itself

b)

A number that is always odd

c)

A number that is the product of two different numbers

d)

A number that cannot be divided by 2

18.

What is the square root of a perfect square?

a)

Always a whole number

b)

Always a fraction

c)

Always a decimal

d)

Always a negative number

19.

Which of the following is a perfect square?

a)

12

b)

16

c)

18

d)

20

20.

What is the value of 5 squared (5²)?

a)

10

b)

15

c)

20

d)

25

21.

Which number, when squared, gives 49?

a)

6

b)

7

c)

8

d)

9

22.

If a number has a square root that is a whole number, what can you say about the number?

a)

It is a perfect square

b)

It is an even number

c)

It is a prime number

d)

It is a negative number

23.

Which of the following is NOT a perfect square?

a)

36

b)

64

c)

81

d)

50

24.

What is the perfect square of 12?

a)

124

b)

121

c)

144

d)

142

25.

If 4 = n², what is the value of n?

a)

1

b)

2

c)

3

d)

4

26.

Which statement best explains why 25 is a perfect square?

a)

25 is an odd number

b)

25 is the product of 5 multiplied by itself

c)

25 is a multiple of 10

d)

25 is a prime number

27.

Which set contains only perfect squares from the following numbers: 25, 30, 36, 40, 49, 50, 64, 81?

a)

25, 36, 49, 64, 81

b)

25, 30, 36, 49, 50

c)

30, 40, 50, 64, 81

d)

36, 40, 49, 50, 64

28.

How can you quickly identify if a number is a perfect square?

a)

Check if the number is even

b)

Check if the number is a multiple of 5

c)

Check if the square root of the number is a whole number

d)

Check if the number ends with 0

29.

What is the main benefit of using powers in mathematics?

a)

To write repeated multiplication more efficiently

b)

To add numbers quickly

c)

To divide numbers easily

d)

To subtract numbers faster

30.

How do you find the value of a power?

a)

Multiply the base by itself

b)

Add the base to the exponent

c)

Divide the base by the exponent

d)

Subtract the exponent from the base

31.

What makes a perfect square a special type of power?

a)

The exponent is 2

b)

The base is always 10

c)

The exponent is 3

d)

The base is always 1

32.

A number that tells how many times another is to be used as a factor.

a)

Divisible

b)

Base

c)

Quotient

d)

Exponent

33.
True or False?
10= 30
a)
true
b)
false
34.
83
3 is the________________.
a)
Exponent
b)
Base
c)
Multiple
d)
GCF
35.

How do you say 33 in words?

a)

Three squared

b)

Three cubed

36.
What special word do you use for the exponent of 2?
a)
squared
b)
cubed
c)
triangled
d)
boxed
37.
10 x 10 x 10
a)
101
b)
102
c)
103
d)
104
38.
What is the exponent form for the factors
5 x 5 x 5?
a)
35
b)
53
39.

Understanding the problem means:

a)

Figuring out the problem.

b)

Checking to see if the problem worked.

c)

Writing the steps to solve the problem.

d)

Thinking of solutions.

40.

How do you say 42 in words?

a)

Four squared

b)

Four cubed