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.

2. 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: a m x a n = a m+n a)2 5 x 2 2 = b)4 3 x 4 6 = c)6 2 x 6 = d)8 4 x 8 3 = e)9 2 x 9 -2 = f)2 -3 x 2 = g)5 5 x 5 –7 = h)3 -2 x 3 = i)8 -2 x 8 -3 = Give your answer in power form Example: 5 5 x 5 6 = 5 11 Base number Power

3. Multiplying powers of the same number Answers When multiplying: Powers of the same base (number) are added. In general: a m x a n = a m+n a)2 5 x 2 2 = b)4 3 x 4 6 = c)6 2 x 6 = d)8 4 x 8 3 = e)9 2 x 9 –2 = f)2 -3 x 2 = g)5 5 x 5 –7 = h)3 -2 x 3 = i)8 -2 x 8 -3 = 2 7 4 9 6 3 8 7 9 0 = 2 -2 = 5 -2 = 3 -1 = 8 1 = 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 When dividing: Powers of the same base (number) are subtracted. In general: a m ÷ a n = a m - n a)2 5 ÷ 2 2 = b)4 7 ÷ 4 5 = c)6 2 ÷ 6 = d)8 4 ÷ 8 3 = e)3 11 ÷ 3 5 = f)2 -3 ÷ 2 = g)5 5 ÷ 5 –7 = h)11 -2 ÷ 11 3 = i)7 -4 ÷ 7 -3 = Give your answer in power form Example: 5 6 ÷ 5 2 = 5 4 Base number Power

5. When dividing: Powers of the same base (number) are subtracted. In general: a m ÷ a n = a m - n a)2 5 ÷ 2 2 = b)4 7 ÷ 4 5 = c)6 2 ÷ 6 = d)8 4 ÷ 8 3 = e)3 11 ÷ 3 5 = f)2 -3 ÷ 2 = g)5 5 ÷ 5 –7 = h)11 -2 ÷ 11 3 = i)7 -4 ÷ 7 -3 = Dividing powers of the same number Answers 2 3 4 2 6 1 = 8 1 = 3 6 2 -4 5 12 11 -5 7 -1 = Base number Power Now try these: 2 x 2 5 2 1 3 5 x 3 -2 3 2 5 -3 x 5 4 5 -2 4 2 x 4 6 4 -7 Extra Questions

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