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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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Laws of Exponents Whenever we have variables which contain exponents and have equal bases, we can do certain mathematical operations to them. Those operations.

Laws of Exponents Whenever we have variables which contain exponents and have equal bases, we can do certain mathematical operations to them. Those operations.

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