1. Laws of Indices Mr J Frost

2. Learning Outcomes 5 7 x 5 9 6 7 6 -2 (4 3 ) 2

3. 3636

4. 3636 “base” “exponent” or “power” “power”

5. 3 6 x 3 2

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

7. 46424642

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

9. (4 3 ) 4

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

11. Example Questions

12. Group Challenges a b x a c = a b+c (a b ) c = a b x c a b / a c = a b-c

13. Group Challenges 4 2 = 2 x x = 4 0 x = 5 -1 x = 9 3 3 5