# Evaluating Powers (1)

In this worksheet, students evaluate powers.

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Understand Integer Powers/Real Roots

Difficulty level:

### 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

16
• Question 2

Work out the value of:

34

81
• Question 3

Work out the value of:

42

16
• Question 4

Work out the value of:

52

25
• Question 5

Work out the value of:

124

1
• Question 6

Work out the value of:

0204

0
• Question 7

Work out the value of:

104

10000
• Question 8

Work out the value of:

106

1000000
• Question 9

Work out the value of:

26

64
• Question 10

Work out the value of:

35

243
---- OR ----

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