Lesson Objectives By the end of this lesson
Lesson Objectives By the end of this lesson you should be able to: v Multiply powers with the same base. v 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 a) 25 x 22 = When multiplying: Powers of the same base (number) are added. In general: am x an = am+n b) 43 x 46 = c) 62 x 6 = d) 8 x 8 4 3 = e) 92 x 9 -2 = Base number Power 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
Multiplying powers of the same number Answers a) 25 x 22 = 27 When multiplying: Powers of the same base (number) are added. In general: am x an = am+n b) 43 x 46 = 49 c) 62 x 6 = 63 d) 84 x 83 = 87 e) 92 x 9 – 2 = 90 = Base number Power f) 2 -3 x 2 = 2 -2 = g) 55 x 5 – 7 = 5 -2 = h) 3 -2 x 3 = 3 -1 = Follow me card activity i) 8 -2 x 8 -3 = 8 1 =
Dividing powers of the same number Copy the text below in to your books and then answer the questions a) 25 ÷ 22 = When dividing: Powers of the same base (number) are subtracted. In general: am ÷ an = am - n Base number Power b) 47 ÷ 45 = c) 62 ÷ 6 d) 8 ÷ 8 4 = 3 = 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: 5 6 ÷ 5 2= 5 4
Dividing powers of the same number Extra Questions Answers Now try these: a) 25 ÷ 22 = 23 When dividing: Powers of the same base (number) are subtracted. In general: am ÷ an = am - n Base number Power b) 4 ÷ 4 7 =4 5 c) 62 ÷ 6 2 = 61 = d) 84 ÷ 83 = 81 = e) 311 ÷ 35 = 36 f) 2 -3 ÷ 2 = 2 -4 g) 55 ÷ 5 – 7 = 512 h) 11 ÷ 11 = 11 -2 3 -5 i) 7 -4 ÷ 7 -3 = 7 -1 = 2 x 25 21 35 x 3 -2 32 5 -3 x 54 5 -2 42 x 4 6 4 -7
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