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Laws of Indices

Laws of Indices. Mr J Frost. Learning Outcomes. 5 7 x 5 9. 6 7 6 -2. (4 3 ) 2. 3 6. “ power ”. 3 6. “ exponent ” or “ power ”. “ base ”. 3 6 x 3 2. Rule #1. If we multiply two powers with the same base, we add their exponents. a b x a c = a b+c. 4 6 4 2. Rule #2.

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Laws of Indices

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  1. Laws of Indices Mr J Frost

  2. Learning Outcomes 57 x 59 67 6-2 (43)2

  3. 36

  4. “power” 36 “exponent” or “power” “base”

  5. 36 x 32

  6. Rule #1 If we multiply two powers with the same base, we add their exponents. ab x ac = ab+c

  7. 46 42

  8. Rule #2 If we divide two powers with the same base, we subtract the second exponent from the first. ab / ac = ab-c

  9. (43)4

  10. Rule #3 If we raise a power to a power, we multiply the two exponents. (ab)c = ab xc

  11. Example Questions

  12. Group Challenges ab x ac = ab+c ab / ac = ab-c (ab)c = ab xc

  13. Group Challenges x = 40 x = 93 35 x = 5-1 42= 2x

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