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Powers

In this worksheet, students simplify numerical expressions using powers.

'Powers' worksheet

Key stage:  KS 3

Curriculum topic:  Number

Curriculum subtopic:  Understand Integer Powers/Real Roots

Difficulty level:  

down

Worksheet Overview

QUESTION 1 of 10

Calculating 2 x 2 x 2 x 2 x 2 x 2 x 2 is quite easy and probably takes less time than writing it all out.

 

So we have invented a shortcut way of writing this out.

After checking that all the numbers are the same (here they are all 2s), count them up.

There are 7 here.

 

So instead of writing 2 x 2 x 2 x 2 x 2 x 2 x 2, we can write 27.

 

We read 27 as 2 to the power of 7 or as 2 to the 7.

 

Remember, to work this out we keep multiplying by 2......

2, 4, 8, 16, 32, 64, 128

So 27 = 128

 

Be careful

This has nothing really to do with the number 7 itself.  

It is not the same as 2 x 7 = 14.  This would be the answer to 2 + 2 + 2 + 2 + 2 + 2 + 2

 

Select all the answers which are equal to:

 

2 x 2 x 2 x 2

8

2 x 4

16

24

Select all the answers which are equal to:

 

2 x 2 x 2 x 2 x 2

32

2 x 5

10

25

Select all the answers which are equal to:

 

3 x 3 x 3

33

12

33

27

Select all the answers which are equal to:

 

3 x 3 x 3 x 3

81

9 x 9

34

12

Select all the answers which are equal to:

 

3 x 3 x 3 x 3 x 3

53

35

343

243

Select all the answers which are equal to:

 

10 x 10 x 10

103

310

30

1000

Select all the answers which are equal to:

 

10 x 10 x 10 x 10 x 10 x 10

106

a million

60

1000000

Select all the answers which are equal to:

 

5 x 5 x 5 x 5

45

54

625

20

Select all the answers which are equal to:

 

1 x 1 x 1 x 1 x 1 x 1

16

61

111111

1

Select all the answers which are equal to:

 

2 x 2 x 2 x 2 x 2 x 2 x 2

128

27

2 x 7

14

  • Question 1

Select all the answers which are equal to:

 

2 x 2 x 2 x 2

CORRECT ANSWER
16
24
  • Question 2

Select all the answers which are equal to:

 

2 x 2 x 2 x 2 x 2

CORRECT ANSWER
32
25
  • Question 3

Select all the answers which are equal to:

 

3 x 3 x 3

CORRECT ANSWER
33
27
  • Question 4

Select all the answers which are equal to:

 

3 x 3 x 3 x 3

CORRECT ANSWER
81
9 x 9
34
  • Question 5

Select all the answers which are equal to:

 

3 x 3 x 3 x 3 x 3

CORRECT ANSWER
35
243
  • Question 6

Select all the answers which are equal to:

 

10 x 10 x 10

CORRECT ANSWER
103
1000
  • Question 7

Select all the answers which are equal to:

 

10 x 10 x 10 x 10 x 10 x 10

CORRECT ANSWER
106
a million
1000000
  • Question 8

Select all the answers which are equal to:

 

5 x 5 x 5 x 5

CORRECT ANSWER
54
625
  • Question 9

Select all the answers which are equal to:

 

1 x 1 x 1 x 1 x 1 x 1

CORRECT ANSWER
16
1
  • Question 10

Select all the answers which are equal to:

 

2 x 2 x 2 x 2 x 2 x 2 x 2

CORRECT ANSWER
128
27
---- OR ----

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