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Powers & Exponents - Printable Math Worksheets 6th Grade - Wayground

Powers & Exponents

SUMODHYA MENDIS

Created by SUMODHYA MENDIS

20 questions

6th Grade

Math

Updated Oct 2026

Powers & Exponents is a Grade 6 mathematics worksheet that helps students read and use exponential notation. Across 20 questions—18 multiple-choice and 2 multiple-select—students identify the base and exponent, determine the value of a power, recognize exponential forms, and connect powers with repeated multiplication. The set also checks vocabulary such as squared and cubed and includes the special case of a first power. Students evaluate powers such as 7³ and 12², rewrite repeated factors in exponential form, expand powers as products, and select equivalent representations such as five cubed, 5³, and 125. These varied question types reinforce the relationship between a base, its exponent, and the resulting value while giving teachers a focused check of Grade 6 understanding. This free printable worksheet includes a complete answer key for efficient review, independent practice, homework, or formative assessment.

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Powers & Exponents

Total questions: 20

Name
Class
Date
1.
What number represents the base?

What number represents the base?

a)

3

b)

5

c)

15

d)

125

2.
What number is the exponent?

What number is the exponent?

a)

3

b)

5

c)

15

d)

125

3.
What is the value of the power?

What is the value of the power?

a)

3

b)

5

c)

15

d)

125

4.

What is the numerical expression as a power?

9⋅9⋅9⋅99\cdot9\cdot9\cdot9  

a)

949^4  

b)

494^9  

c)

9494  

d)

4949  

5.

Identify the statement with the correct symbol.

a)

52<255^2<2^5

b)

52>255^2>2^5

c)

52=255^2=2^5

6.

Evaluate: 73

a)

21

b)

343

c)

7 x 7 x 7

d)

7 x 3

7.

Write in exponential form: 3 x 3 x 3 x 3

a)

3 x 4

b)

34

c)

81

d)

32

8.

181 =

a)

18

b)

0

c)

324

d)

1

9.

Select ALL of the following that are equivalent to 5×5×5

a)

five cubed

b)

five squared

c)

53

d)

35

e)

125

10.
Write each power as a product of the same factor. Then solve and find the value.
3³
a)
3 x 3 x 3; 9
b)
3 x 3 x 3; 27
c)
3 x 3; 9
d)
3 + 3; 6
11.

Evaluate 12 to the second power

a)

12

b)

24

c)

144

d)

122

12.
In the expression 25, what is the BASE?
a)
2
b)
5
13.
In the expression 25, what is the EXPONENT?
a)
5
b)
2
14.

4 × 4 × 4 × 4 = ?4\ \times\ 4\ \times\ 4\ \times\ 4\ =\ ?  

a)

454^5  

b)

242^4  

c)

282^8  

d)

828^2  

15.

How do you say 33 in words?

a)

Three squared

b)

Three cubed

16.

How do you say 42 in words?

a)

Four squared

b)

Four cubed

17.

6×66\times6  

Write the product as a POWER.

a)

3636  

b)

262^6  

c)

626^2  

d)

1212  

18.

727^2  

Find the VALUE of the power.

a)

4949  

b)

1414  

c)

2121  

d)

77  

19.

232^3  

Find the VALUE of the power.

a)

44  

b)

66  

c)

88  

d)

1010  

20.

How do you say 42 in words?

a)

Four squared

b)

Four cubed

WaygroundAnswer Key

Powers & Exponents

Total questions: 20

1.
b)

5

2.
a)

3

3.
d)

125

4.
a)

949^4  

5.
a)

52<255^2<2^5

6.
b)

343

7.
b)

34

8.
a)

18

9.
a)

five cubed

, c)

53

, e)

125

10.
b) 3 x 3 x 3; 27
11.
c)

144

12.
a) 2
13.
a) 5
14.
c)

282^8  

15.
b)

Three cubed

16.
a)

Four squared

17.
c)

626^2  

18.
a)

4949  

19.
c)

88  

20.
a)

Four squared

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FAQs

What does the Powers & Exponents worksheet cover?

This Grade 6 worksheet uses 18 multiple-choice and 2 multiple-select questions to practice identifying bases and exponents, evaluating powers, and converting between exponential notation and repeated multiplication. Students also interpret squared and cubed language, recognize equivalent forms such as five cubed, 5³, and 125, and apply the rule that a first power equals the base.

How can I use this worksheet to teach bases, exponents, and powers?

Begin by modeling one expression as repeated multiplication, labeling the base as the repeated factor and the exponent as the number of factors. Then have students work through the worksheet, asking them to explain why an expression such as 3³ means 3 × 3 × 3 before selecting its value. Use the multiple-select items to discuss why several representations of 5 × 5 × 5 can be equivalent.

What mistakes should I watch for on this powers and exponents worksheet?

Watch for students reversing the base and exponent, especially in expressions such as 2⁵, or treating 7³ as 7 × 3 instead of 7 × 7 × 7. Students may also confuse an exponent with the value of a power, mistake squared for cubed, or select only one correct representation in a multiple-select question. Check that they expand the power into the correct number of equal factors before evaluating it.

How do I assign and grade the Powers & Exponents worksheet?

On Wayground, assign this worksheet either as a printable PDF or as a digital quiz; it includes a complete answer key for checking responses. Printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format also gives schools an option for reducing screen time while students practice evaluating powers.

How can I differentiate this powers and exponents worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the exponent notation, answer choices, and repeated-multiplication items are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when appropriate. These options help students access the same practice with clearer presentation of the base-and-exponent expressions.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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