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Worksheets

Index notation

Total questions: 22

Worksheet time: 11mins

Name
Class
Date
1.

p4

What is the base of the number given?

a)

1

b)

p

c)

4

d)

p4

2.

m8

What is the index of the number given?

a)

1

b)

8

c)

m

d)

m8

3.

52

Which is the base and which is the power?

a)

5 is base and 2 is power

b)

5 is base and power

c)

2 is base and 5 is power

d)

2 is base and power

4.

b×b×b×b in index form is equal to

a)

4b

b)

b4

c)

b3

d)

2b2

5.

Simplify 2×b×b×b×3

a)

2b3

b)

6b

c)

b6

d)

6b3

6.

Write the following in index form; 2 x 2 x a x a x b

a)

4a2b

b)

22a2b

c)

22ab3

d)

4ab2

7.

Write in index notation. 7 x 7 x 7 x 7 x 7 x 10

a)

75 + 10

b)

75 x 10

c)

75 x 100

8.

Write in index notation. 2 x 3 x 3 x 5 x 5 x 5 x 2

a)

2 x 32 x 52

b)

22 + 32 + 53

c)

22 x 32 x 53

9.

What is 32 in expanded form?

a)

3 + 3

b)

3 x 3

c)

2 x 2 x 2

d)

3 + 2

10.

What is 67 in expanded form?

a)

6 x 6 x 6 x 6 x 6 x 6 x 6

b)

6 + 6 + 6 + 6 + 6 + 6 + 6

c)

7 x 7 x 7 x 7 x 7 x 7

d)

6 x 7

11.

What is a3 x b2 in expanded form?

a)

a x 3 x b x 2

b)

a x a x b x b x b

c)

ab5

d)

a x a x a x b x b

12.

What is 32a3b5 in expanded form?

a)

9a3b5

b)

3ab10

c)

3 x 3 x a x a x a x b x b x b x b x b

d)

3 x 3 x a x a x b x b x b x b x b x b

13.

Simplify 3b×7b4

a)

21b4

b)

21b5

c)

10b4

d)

10b5

14.

Simplify 3×2b2

a)

6b2

b)

6b

c)

3b3

d)

5b2

15.

Simplify b3×b11

a)

b15

b)

b8

c)

b33

d)

b14

16.

Simplify 3b×6b2

a)

9b4

b)

6b5

c)

18b3

d)

9b3

17.

Simplify 2b×3b2×5b3

a)

30b5

b)

10b6

c)

30b6

d)

30b

18.

Simplify 5b4×4b3

a)

20b7

b)

9b7

c)

9b12

d)

20b12

19.

Complete in index notation 33x 35

a)

315

b)

38

c)

32

d)

335

20.

Complete in index notation. 44x 46

a)

42

b)

424

c)

410

21.

Solve 53

a)

8

b)

15

c)

75

d)

125

22.

Solve 93

a)

729

b)

27

c)

12

d)

525