1. AIM: Laws of Exponents
Do Now
Basic Skills Quiz #5
1

2. Basic Skills Quiz #5
1.) Subtract and write your answer in simplest form.
3
4
10
- 1
3
4
2.) Complete the following decimal operation.
6 ÷ 0.25
3.) Solve the following equation (SHOW ALL WORK).
x + 7 = 10
4.) Evaluate the following numeric expression using the order of
operations.
40 - 10 ÷ 2 + 7
5.) Round the following to the nearest tenth.
72.35
2

3. Basic Skills Quiz #5 Make-Up
1.) Subtract and write your answer in simplest form.
3
5
5
- 3 3
4
2.) Complete the following decimal operation.
8 ÷ 0.25
3.) Solve the following equation (SHOW ALL WORK).
x+5=8
4.) Evaluate the following numeric expression using the order of
operations.
20 - 5 + 15 ÷ 3
5.) Round the following to the nearest tenth.
85.3468
3

4. Basic Skills Quiz #5 Make-Up 2
1.) Subtract and write your answer in simplest form.
1
6
6
- 2
3
5
2.) Complete the following decimal operation.
4 ÷ 0.25
3.) Solve the following equation (SHOW ALL WORK).
x + 7 = 12
4.) Evaluate the following numeric expression using the order of
operations.
25 - 5 + 15 ÷ 3
5.) Round the following to the nearest tenth.
85.38454134164
4

5. 5

6. 6

7. Division of Powers Factored Form
Factored Form
with the same base written as a power
7

8. Division of Powers Factored Form
Factored Form
with the same base written as a power
8•8•8•8•8
8

9. Division of Powers Factored Form
Factored Form
with the same base written as a power
8•8•8•8•8
8•8•8
What is 8 divided by 8?
What operation does a
fraction bar represent?
How can we simplfy the factored form?
9

10. Division of Powers Factored Form
Factored Form
with the same base written as a power
8•8•8•8•8
8•8•8
10

11. Division of Powers Factored Form
Factored Form
with the same base written as a power
8•8•8•8•8
8•8•8
1.) Describe any relationships you can find between the
Division of Powers with the same base column and the
Factored Form written as a power column.
2.) Using the relationships you found, create a rule that
would allow you to simplify the expression, , without first
writing the factored form.
11

12. LAW OF EXPONENTS FOR DIVISION:
Dividing Powers with the Same Base:
12

13. Think-Pair-Share Activity:
Simplify each expression.
A.) B.)
C.) D.)
13

14. e.) 7 3
ab f.) 4x6
ab2 2x3
g.) 9y5 h.) 12x7y4
3y2 3xy2
14

15. Find the length of the missing side.
Area = 8y5 2y2
Area = 15x3
3x
15

16. Extra Examples
16

17. Before You Leave
Explain why the following example cannot be
simplified using the Law of Exponents for Division.
45
33
17

18. Mr. Tjersland's Math 7
Homework: Castle Homework #6 due Friday
18

19. AIM: Laws of Exponents
12x7y4
3xy2
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20. Attachments
Cumulative Review Sheet 4.doc
Math in the News Project Outline.doc