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**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

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**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

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**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

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**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

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**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

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