1. Every moment in planning saves three or four in execution. Crawford Greenwalt Today:  Class Announcements  Return Chapter 5 Tests  6.1 Notes  Begin Homework

2. Objectives: 1. Know and apply individual properties of exponents 2. Know and apply multiple properties of exponents Vocabulary: none

3. 23 5 =

4. x 7 x 5 a 2 a 6 w 5 w 3 f 8 f 4 c 6 c 4 c 3 n 12 n 20 Property: a m a n = a m+n 2 2 2 5 4 3 4 4 12 5 12 3 3 8 5 4 7 6 7 8 7 2 3 12 3 20

5. 2 ( 6 = ) 3 )))(((

6. (a 5 ) 3 (x 2 ) 4 (w 3 ) 4 (h 6 ) 2 (p 8 ) 10 ((q 3 ) 2 ) 4 Property: (a m ) n = a mn (3 5 ) 3 (6 2 ) 4 (5 3 ) 4 (2 6 ) 2 (4 8 ) 10 ((2 3 ) 2 ) 4

7. (xy) 3 (ab) 4 (pq) 7 (ef) 9 Property: (ab) m = a m b m (2x) 4 (3b) 6 (4q) 2 (2f) 3

8. Property: Recall that we add exponents for numbers (or variables) with the same base when multiplied. What should we do with division?

9. Property: a 0 = 1 except for a = 0 x0x0 y0y0 h0h0 2020 50500 How can we simplify: ?

10. Property: x -3 y -2 h -81 2 -4 4 -3 5 -8 How can we simplify: ? Change the position of any bases with negative exponents.

11. Property:

12. Power of a Product Property: (ab) m = a m b m Power of a Power Property: (a m ) n = a mn Product of Powers Property:a m a n = a m+n Negative Exponent Property: Zero Exponent Property: a 0 = 1, a  0 Quotient of Powers Property: Power of a Quotient Property:

13. x 7 x -3 (x 7 y 2 ) 3 (3x 3 y 2 ) 2

14. Every moment in planning saves three or four in execution. Crawford Greenwalt Homework/Reminder:  pg. 326 #16-23, 32-38 even  Quiz 6.1-6.3 on December 21