Indices (1)

1. Work out the value of 32

2

3

2725 .

2. Find a and b if 22a

= 64 and 10b = 0.001

3. Work out (a)4

52

5

55 (b)

2

3

9

1

4. Express the following as powers of 2 (i.e. in the form n2 ):

a) 16

b) 32

1

c) 0.25

d) 1

5. Show that 36

1323 22 [Write down all the steps in your working.]

6. Express the following as powers of the stated numbers:

a) 81 as a power of 3

b) 16

1as a power of 4

c) 625 as a power of 5

7. Write these numbers in order of size. Start with the smallest number.

51

0.5 5 50

2 mark (2013 June/NC)

8. Find the value of 32

27

2 mark (2011 June/NC)

9. Show that 343

64

16

49 23

[Write down all the steps in your working.]

10. Calculate the following:

a) 62

b) 35

c) 210

d)

4

3

5

e) 2

7

4

11. Find x in the following:

a) 497 x

b) 125

15 x

c) 8

27

3

2

x

d) 12 x

e) 164

1

x

12. Write down the reciprocal of 5.

13. Write as a single power of 5.

36 55