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Evaluating Powers (1)

In this worksheet, students evaluate powers.

'Evaluating Powers (1)' worksheet

Key stage:  KS 3

Curriculum topic:  Number

Curriculum subtopic:  Understand Integer Powers/Real Roots

Difficulty level:  

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 out 2 x 2 x 2 x 2 x 2 x 2 x 2, we start at 2 and keep multiplying by 2 another six times......

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

 

Work out the value of:

 

24

6

8

24

16

Work out the value of:

 

34

81

34

27

12

Work out the value of:

 

42

81

42

16

8

Work out the value of:

 

52

100

52

10

25

Work out the value of:

 

124

124

1

24

25

Work out the value of:

 

0204

0

1

204

2040

Work out the value of:

 

104

1000

14

40

10000

Work out the value of:

 

106

1000

60

1000000

10000

Work out the value of:

 

26

12

26

64

32

Work out the value of:

 

35

243

343

15

35

  • Question 1

Work out the value of:

 

24

CORRECT ANSWER
16
  • Question 2

Work out the value of:

 

34

CORRECT ANSWER
81
  • Question 3

Work out the value of:

 

42

CORRECT ANSWER
16
  • Question 4

Work out the value of:

 

52

CORRECT ANSWER
25
  • Question 5

Work out the value of:

 

124

CORRECT ANSWER
1
  • Question 6

Work out the value of:

 

0204

CORRECT ANSWER
0
  • Question 7

Work out the value of:

 

104

CORRECT ANSWER
10000
  • Question 8

Work out the value of:

 

106

CORRECT ANSWER
1000000
  • Question 9

Work out the value of:

 

26

CORRECT ANSWER
64
  • Question 10

Work out the value of:

 

35

CORRECT ANSWER
243
---- OR ----

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