1. Secret Signal … on your chest “1” if true “2” if false 2 3 = (2)(2)(2)

2. Secret Signal … on your chest “1” if true “2” if false 2 3 = 3 2

3. Secret Signal … on your chest “1” if true “2” if false 1 3 = 3 1

4. Secret Signal … on your chest “1” if true “2” if false 1 17 = 17

5. Secret Signal … on your chest “1” if true “2” if false 17 1 = 17

6. Secret Signal … on your chest “1” if true “2” if false 3 0 = 0

7. Secret Signal … on your chest “1” if true “2” if false (1,762,905) 0 = 1

8. 5.1 Exponential Notation 2 What we will learn:  To multiply numbers in exponential form  To divide numbers in exponential form

9. x 3 means: x x x x 2 means: x x x 3 x 2 means (x x x) (x x) x5x5 Multiplying Powers with the same base: X m x n = x m+n

10. Simplify. Express using exponents. 8 4 8 3 8 4+3 = 8 7

11. Simplify. Express using exponents. y y 2 y 6 y 1+2+6 = y 9

12. Simplify. Express using exponents. (mn 2 ) (m 4 n 6 ) m 1+4 n 2+6 = m 5 n 8

13. Simplify. Express using exponents. (7x2y4) (3x4y6)(7x2y4) (3x4y6) x 2+4 y 4+6 = 21x 6 y 10 21

14. Simplify. Express using exponents. (9x3y2) (6x5y3)(9x3y2) (6x5y3) 54x 8 y 5

15. Dividing Powers with the same base: X m ÷ x n = x m-n Dividing Powers with the Same Base

16. Simplify. Express using exponents.

19. 4

21. Express using positive exponents 8 -2

22. Express using positive exponents 3 -3

23. Express using positive exponents ab -1

24. Exponent applies to the figure immediately to the left

25. Get out a piece of paper How many times do you think you can fold it in halves?

26. Definition: a 0 = 1 (0 0 is “undefined) 2 4 = 163 4 = 810 4 = 0 2 3 = 83 3 = 270 3 = 0 2 2 = 43 2 = 90 2 = 0 2 1 =3 1 =0 1 = 0 2 0 =3 0 =0 0 = 2 -1 =3 -1 =0 -1 =

27. Definition: a 0 = 1 (0 0 is “undefined) 2 4 = 163 4 = 810 4 = 0 2 3 = 83 3 = 270 3 = 0 2 2 = 43 2 = 90 2 = 0 2 1 =3 1 =0 1 = 0 2 0 =3 0 =0 0 = 2 -1 =3 -1 =0 -1 =

28. Review What we learned:  To multiply numbers in exponential form Add the exponents  To divide numbers in exponential form Subtract the exponents  n 0 = 1  n 1 = n  n -2 =

29. Assignment: Page 207 (4-72)even