1. Bellwork~ Simplify 1.) 22 • 23 2.) 53 • 51 3.) (22)3 4.) (2xy)3
5.) (-3)2
6.) -32
1.) 32
2.) 625
3.) 26 = 64
4.) 8x3y3
5.) 9
6.) -9

2. To be able to apply the exponent rules to multiplication.
Today’s Objective
To be able to apply the exponent rules to multiplication.

3. Take Notes When You See

4. Exponent Rules 1.) am • an = 2.) (am)n = 3.) (a • b)m 4.) a-n =
3.) am • bm
4.) 1/an
5.) 1

5. Exponent Rules
6.) am an
7.) a n b
6.) am-n
7.) an bn

6. Make a Table of 2’s What’s the meaning of... 24= 23= 22= 21= 20= 16 8
2-1=
2-2=
2-3=
2-4=
2-5=
1/21=
1/22=
1/23=
1/24=
1/25=
1/2
1/4
1/8
1/16
1/32

7. Explain the exponent rule for multiplying like bases to your neighbor.
What’s the meaning of...
x3 means x • x • x
So…. x3 • x2 = x • x • x • x • x = x5
Explain the exponent rule for multiplying like bases to your neighbor.

8. What’s the meaning of... 1.) x2 • x4 = 2.) x1 • x2 = 3.) x5 • x5 =
5.) x3 • y2 =
1.) x6
2.) x3
3.) x10
4.) x3
5.) x3 y2

9. So…. x3 • x3 = x • x • x • x • x • x= x6
What’s the meaning of...
(x3)2 means x3 • x3
So…. x3 • x3 = x • x • x • x • x • x= x6
Explain the exponent rule for finding a power of a power to your neighbor.

10. What’s the meaning of... 1.) (x2)4 = 2.) (x1)3 = 3.) (xy2)4 =
5.)(x4y2)3(2y2)2=
1.) x8
2.) x3
3.) x4y8
4.) -8x6y3
5.) 4x12y10

11. What’s the difference?? -32 and (-3)2
(-3)2 =
-3 • -3 = 9
-32 =
-1•3 •3 = -9

12. Closure 1.) What does x3 mean?
2.) What’s the rule for multiplying powers with like bases ? ie… x3 •x4

13. Closure 4.) What’s the rule for finding a power of a power ? ie… (x3)2
3.) What does (x3)2 mean?
4.) What’s the rule for finding a power of a power ? ie… (x3)2

14. Classwork
Do worksheets 8.1
homework
page 403 (10-40 even)

15. Bellwork~ Simplify 1.) x2 • x3 2.) 53 • 55 3.) (32)3 4.) (-2xy2)3
2.) 58
3.) 36 =1029
4.) -8x3y6
5.) 9x2
6.) -3x2

16. What’s the meaning of...
But what about x x3

17. x2 x5 means x • x • x • x • x x3 means x • x • x So….
What’s the meaning of...
x5 means x • x • x • x • x
x3 means x • x • x
So….
x5 = x • x • x • x • x x3 = x • x • x x2

18. What’s the meaning of...
Explain the exponent rule for dividing with like bases to your neighbor.

19. x3 x5 x3 x3 x-3 What’s the meaning of... x3 = 1 x5 x2 x3 = x0 = 1 x3

20. Classwork
Do worksheets
homework
page 409 (2-40 even)

21. Bellwork Simplify 1.) 4xy3 5xy-3 2y x2 2.) 14x3y -2xy -4xy-3 -x
3.) -9x3y7 (2xy) x2y x2y2

22. Bellwork Simplify
1.) 4xy3 5xy y x2
20x x2y y

23. Bellwork Simplify
2.) 14x3y -2xy xy x
-28x4y x2y-3
-7x2y5

24. Bellwork Simplify = 6xy4 3.) -9x3y7 (2xy)2 x2y3 -6x2y2

25. Then complete the Special Problems worksheet.
Classwork
Then complete the Special Problems worksheet.
Homework Pg 426 (5-22)