The smart way to improve grades

Comprehensive & curriculum aligned

Affordable pricing from £10/month

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
EDDIE SAYS
Working out 2 x 2 x 2 x 2 would give 16 There are four number twos multiplied together, we can write this as 24
  • Question 2

Select all the answers which are equal to:

 

2 x 2 x 2 x 2 x 2

CORRECT ANSWER
32
25
EDDIE SAYS
Working out 2 x 2 x 2 x 2 x 2 would give 32 There are five number twos multiplied together, we can write this as 25
  • Question 3

Select all the answers which are equal to:

 

3 x 3 x 3

CORRECT ANSWER
33
27
EDDIE SAYS
Working out 3 x 3 x 3 would give 27 There are three number threes multiplied together, we can write this as 33
  • Question 4

Select all the answers which are equal to:

 

3 x 3 x 3 x 3

CORRECT ANSWER
81
9 x 9
34
EDDIE SAYS
Working out 3 x3 x 3 x 3 would give 81 There are four number threes multiplied together, we can write this as 34
  • Question 5

Select all the answers which are equal to:

 

3 x 3 x 3 x 3 x 3

CORRECT ANSWER
35
243
EDDIE SAYS
Working out 3 x3 x 3 x 3 x 3 would give 243 There are five number threes multiplied together, we can write this as 35
  • Question 6

Select all the answers which are equal to:

 

10 x 10 x 10

CORRECT ANSWER
103
1000
EDDIE SAYS
Working out 10 x 10 x 10 would give 1000 There are three number tens multiplied together, we can write this as 103
  • 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
EDDIE SAYS
Working out 10 x 10 x 10 x 10 x 10 x 10 would give 1000000 This can be written in words as A Million There are six number tens multiplied together, we can write this as 106
  • Question 8

Select all the answers which are equal to:

 

5 x 5 x 5 x 5

CORRECT ANSWER
54
625
EDDIE SAYS
Working out 5 x 5 x5 x 5 would give 625 There are four number fives multiplied together, we can write this as 54
  • 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
EDDIE SAYS
Working out 1 x 1 x 1 x 1 x 1 x 1 would give 1 There are six number ones multiplied together, we can write this as 16
  • 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
EDDIE SAYS
Working out 2 x 2 x 2 x 2 x 2 x 2 x 2 would give 128 There are seven number twos multiplied together, we can write this as 27
---- OR ----

Sign up for a £1 trial so you can track and measure your child's progress on this activity.

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Start your £1 trial

Start your trial for £1