1. Exponents

2. Bell Work

3. http://www. bing. com/videos/search ?

4. Zero Exponent 30 = 1 390 = -70 = (1/2)0 = Zero Exponent X0 = 1 70 = 1
RULE
PROPERTY
EXAMPLE
Zero Exponent
X0 = 1
70 = 1
30 = 1
390 =
-70 =
(1/2)0 =
(4x3y5)0 =

5. Negative Exponent 3-1 = 1/3 39-1 = 1/39 ½-1 = 2 4x2y-2 =
RULE
PROPERTY
EXAMPLE
Negative Exponent
X-1 = 1/X
7-1 = 1/7
1/3
3-1 =
39-1 =
1/39
½-1 = 2
4x2 y2
4x2y-2 =
(4x3y5)-1 =
__1__
4x3y5

6. Product of Powers m3m3 = m6 (2n)(n4) = (x2y)(x5y2) = Product of Powers
RULE
PROPERTY
EXAMPLE
Product of Powers
XmXn = Xm+n
X2X3 = X2+3 = X5
m3m3 = m6
y5 x y2 x y y8
(2n)(n4) =
2n5
(x2y)(x5y2) =
x7y3

7. Quotient of Powers 32 33 x8 x7 Quotient of Powers Xm Xn X4 X2 35 x
RULE
PROPERTY
EXAMPLE
Quotient of Powers Xm Xn X4 X2
= Xm-n 35 32 33 x8 x7 x
4x7y
2x5y4
2x2 y3

9. Classroom/Home work Page 207 1 – 50, odd

10. #3
#11
85 x 89
m7 x m0
85+9
m7 x 1
814 m7

11. #15
#21
a3 x a4 x a x a
(5s2t3)(5s2t) a
5x5 s2+2 t3+1 89
52s4t4

12. #27
#37 64
43x3
42x
64-4
43-2x3-1 60
4x2 1

13. #47
#49
5c-4
(3a)-1
_5_ c4 1_ 3a

14. The rest of the answers:27
814 x7 n4 x4
11. m7
15.a9
a8b7
19. p3q4r5
21. 52s4t4
23. 73
25. 86
27. 1
29. y4
31. 1
33. 1
35. a2b3
37. 4x2
39. 1/32
41. 1/x4
43. 3/a
45. 1/2y
47. 5/c4
49. 1/3a

15. What about raising a Power to a Power?
Onward! With exponents!
What about raising a Power to a Power?
(am)n

16. (35)4
(35) (35) (35) (35)
35x4
320

17. ((-2)3)2
(-23) (-23)
-23+3
-23x2
-26

18. (y5)3
(y5) (y5)(y5)
y5+5+5
y5x3
y15

19. -42x2y10z6

20. Board time!
Practice!
Work in Pairs!
1 board per Pair.

21. Exponent Puzzle time! Complete the Puzzle -
Homework consists of all odds!
Do not complete Puzzle -
Homework consist of all problems!

22. Homework
Page 212, 1-40….odd

23. Page 212, 1-40 odd.
# 5
(y5)9
y5*9
y45
# 13
(3y)4
34y4
81y4

24. Page 212, 1-40 odd. # 23 # 29 (5y4)3 53y4*3 125y12 (2x8y3)2 22x8*2y3*2

25. Page 212, 1-40 odd.
# 33
(4x2y3z)4
44x2*4y3*4z4
256x8y12z4

26. Remaining Answers, Page 212, 1-40 odd.
210
3. 56
5. y45
7. m32
9. a30
11. p y y m x4
21. 4m4
y12 t6
k12
29. 4x16y6
x6y12
x8y12z4
/a6
37. x8/256
39. m12/n6

27. Simplify

28. Simplify

29. Simplify

30. Simplify
b2(a3b)2 + a2(a2b2)2
2a6b4

31. Simplify
(-2x2y3)4(xy)3
16x11y15

32. Simplify
(3t-2m3)(2m-5)2(tm4)-3
__12__
t5m19

33. Worksheet time!
Complete the worksheet….due at the end of class. Quiz on Wednesday. Laws of Exponents

34. Exponential Functions