1. COLLEGE ALGEBRA 5.2. Exponents (Division Rule)

2. Do Now: In the homework packet, g – L

3. Do Now: Simplify as much as possible 5x 2 y 3 (2xy 5 ) 3 (2x) 2 (3xy) 4

4. Homework Questions? Comments? Concerns? Confusions? ASK ASK ASK!

5. Quotient of Powers Rule For any numbers a, m, and n,

6. Why does this work? Consider….

7. Example One:

8. You Try!

9. Power of a Quotient Rule For any numbers a, b, and m,

10. Example Two:

11. Why does this work? Consider

12. You Try!

13. Zero Exponent Rule For any nonzero number a, a 0 = 1

14. Negative Exponent Rule For any nonzero number a and any integer n,

15. Why does this work? Let’s take a look at what happens- It decreases! 3 2 3 1 3 0 3 -1 3 -2

16. CAUTION There is a difference between 5 -1 -5 1

17. Example Three

18. You Try!

19. Example Four:

20. You Try!

21. Rational Exponents “Power over Root” Think: Rational, hence rational means fraction Realize: Both forms are equivalent

22. Example Five: Change to Radical Form:

23. Example Six: Change to radical form

24. Example Seven: Change to exponential form

25. You Try! Change to radical form:

26. You Try! Change to exponential form

27. Practice Problems Try some on your own/in your table groups As always don’t hesitate to ask me questions if you are confused and/or