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Powers part 2

Powers part 2. Multiplying powers with like bases. 8 3 ∙ 8 2 =. 8 ∙ 8 ∙ 8. ∙. 8 ∙ 8. =. 8 5. 8 3 ∙ 8 2 =. 8 3 + 2 =. 8 5. a m ∙ a n = a m+n. Dividing powers with like bases. 4 5. 4 ∙ 4 ∙ 4 ∙ 4 ∙ 4. =. =. 4 2. 4 3. 4 ∙ 4 ∙ 4 . 4 5. =. 4 5 + 3 =. 4 2. 4 3. a m.

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Powers part 2

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  1. Powerspart 2

  2. Multiplying powers with like bases. 83∙ 82= • 8 ∙ 8 ∙ 8 ∙ • 8 ∙ 8 = 85 83∙ 82= 83+2 = 85 am ∙ an = am+n

  3. Dividing powers with like bases. 45 • 4 ∙ 4 ∙ 4 ∙ 4 ∙ 4 = = 42 43 • 4 ∙ 4 ∙ 4 45 = 45+3 = 42 43 am = am-n an

  4. Do you see a pattern? 24 = 16 23 = 8 22 = 4 21 = 2 20 = 2-1 = 2-2 = ÷ 2 ÷ 2 ÷ 2 ÷ 2 1 ÷ 2 ÷ 2

  5. Do you see a pattern? 34 = 81 33 = 27 32 = 9 31 = 3 30 = 3-1 = 3-2 = ÷ 3 ÷ 3 ÷ 3 ÷ 3 1 ÷ 3 ÷ 3

  6. Based on these patterns, we can conclude a0 = a-m = 34 = 81 33 = 27 32 = 9 31 = 3 30 = 3-1 = 3-2 = ÷ 3 1 ÷ 3 ÷ 3 ÷ 3 1 1 ÷ 3 am ÷ 3

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