1. 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.
Free powerpoints at

2. Multiplying powers of the same number
Copy the text below in to your books and then answer the questions
25 x =
43 x =
62 x =
84 x =
92 x =
2-3 x 2 =
55 x 5 –7 =
3 -2 x =
8 -2 x 8 -3 =
When multiplying:
Powers of the same base (number) are added.
In general: am x an = am+n
Give your answer in power form
Example:
55 x 56= 511
Base number
Power

3. Multiplying powers of the same number
Answers
25 x =
43 x =
62 x =
84 x =
92 x 9 –2 =
2-3 x =
55 x 5 –7 =
3 -2 x =
8 -2 x 8 -3 = 27 49 63 87
90 =
2 -2 =
5 -2 =
3 -1 =
8 1 =
When multiplying:
Powers of the same base (number) are added.
In general: am x an = am+n
Base number
Power
Follow me card activity

4. Dividing powers of the same number
Copy the text below in to your books and then answer the questions
25 ÷ =
47 ÷ =
62 ÷ =
84 ÷ =
311 ÷ =
2-3 ÷ 2 =
55 ÷ 5 –7 =
11 -2 ÷ 113 =
7-4 ÷ =
When dividing:
Powers of the same base (number) are subtracted.
In general: am ÷ an = am - n
Give your answer in power form
Example:
56 ÷ 52= 54
Base number
Power

5. Dividing powers of the same number
Extra Questions
Answers
25 ÷ =
47 ÷ =
62 ÷ =
84 ÷ =
311 ÷ =
2-3 ÷ 2 =
55 ÷ 5 –7 =
11 -2 ÷ 113 =
7-4 ÷ = 23 42
61 =
81 = 36
2 -4
512
11 -5
7-1 =
Now try these:
2 x 25 21
35 x 3-2 32
5-3 x 54
5-2
42 x 46
4-7
When dividing:
Powers of the same base (number) are subtracted.
In general: am ÷ an = am - n
Base number
Power