Lesson Objectives

By the end of this lesson you should be able to:

Multiply powers with the same base.

Divide powers with the same base.

Multiplying powers of the same number

Copy the text below in to your books and then answer the questions

When multiplying:Powers of the same base (number) are added.

In general: am x an = am+n

a) 25 x 22 =

b) 43 x 46 =

c) 62 x 6 =

d) 84 x 83 =

e) 92 x 9 -2 =

f) 2-3 x 2 =

g) 55 x 5 –7 =

h) 3 -2 x 3 =

i) 8 -2 x 8 -3 =

Give your answer in

power form

Example:55 x 56=

511

Base numberPowe

r

Multiplying powers of the same number

Answers

When multiplying:Powers of the same base (number) are added.

In general: am x an = am+n

a) 25 x 22 =

b) 43 x 46 =

c) 62 x 6 =

d) 84 x 83 =

e) 92 x 9 –2 =

f) 2-3 x 2 =

g) 55 x 5 –7 =

h) 3 -2 x 3 =

i) 8 -2 x 8 -3 =

27

49

63

87

90 =

2 -2 =

5 -2 =

3 -1

=

8 1

=

Base numberPowe

r

Follow me card activity

Dividing powers of the same numberCopy the text below in to your books and then answer the

questions

When dividing:Powers of the same base (number) are subtracted.

In general: am ÷ an = am -

n

a) 25 ÷ 22 =

b) 47 ÷ 45 =

c) 62 ÷ 6 =

d) 84 ÷ 83 =

e) 311 ÷ 35 =

f) 2-3 ÷ 2 =

g) 55 ÷ 5 –7 =

h) 11 -2 ÷ 113 =

i) 7-4 ÷ 7-3 =

Give your answer in

power form

Example:56 ÷ 52= 54

Base numberPowe

r

When dividing:Powers of the same base (number) are subtracted.

In general: am ÷ an = am -

n

a) 25 ÷ 22 =

b) 47 ÷ 45 =

c) 62 ÷ 6 =

d) 84 ÷ 83 =

e) 311 ÷ 35 =

f) 2-3 ÷ 2 =

g) 55 ÷ 5 –7 =

h) 11 -2 ÷ 113 =

i) 7-4 ÷ 7-3 =

Dividing powers of the same number

Answers

23

42

61 =

81 =

36

2 -4

512

11 -5

7-1 =

Base numberPowe

r

Now try these:

2 x 25

21

35 x 3-2

32

5-3 x 54

5-2

42 x 46

4-7

Extra Questions

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