AIM: Laws of Exponents


                         Do Now


          Basic Skills Quiz #5




                            ...
Basic Skills Quiz #5
1.) Subtract and write your answer in simplest form.

                3
            4
               ...
Basic Skills Quiz #5 Make-Up
1.) Subtract and write your answer in simplest form.

                 3
            5
      ...
Basic Skills Quiz #5 Make-Up 2
1.) Subtract and write your answer in simplest form.

                 1
             6
   ...
5
6
Division of Powers                   Factored Form
                     Factored Form
with the same base                  ...
Division of Powers                    Factored Form
                      Factored Form
with the same base                ...
Division of Powers                              Factored Form
                            Factored Form
with the same base...
Division of Powers                    Factored Form
                      Factored Form
with the same base                ...
Division of Powers                          Factored Form
                        Factored Form
 with the same base       ...
LAW OF EXPONENTS FOR DIVISION:
Dividing Powers with the Same Base:




                                      12
Think-Pair-Share Activity:
      Simplify each expression.




A.)                B.)




C.)                 D.)




    ...
e.)     7 3
       ab     f.)    4x6
        ab2          2x3




g.)   9y5     h.) 12x7y4
      3y2           3xy2




  ...
Find the length of the missing side.



           Area = 8y5          2y2




              Area = 15x3


               ...
Extra Examples




                 16
Before You Leave

Explain why the following example cannot be
simplified using the Law of Exponents for Division.


      ...
Mr. Tjersland's Math 7




Homework: Castle Homework #6 due Friday




                                          18
AIM: Laws of Exponents




     12x7y4
      3xy2




                         19
Attachments



     Cumulative Review Sheet 4.doc

     Math in the News Project Outline.doc
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Day 4 law of exponents div

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Day 4 law of exponents div

  1. 1. AIM: Laws of Exponents Do Now Basic Skills Quiz #5 1
  2. 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. 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. 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. 5
  6. 6. 6
  7. 7. Division of Powers Factored Form Factored Form with the same base written as a power 7
  8. 8. Division of Powers Factored Form Factored Form with the same base written as a power 8•8•8•8•8 8
  9. 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. 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. 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. 12. LAW OF EXPONENTS FOR DIVISION: Dividing Powers with the Same Base: 12
  13. 13. Think-Pair-Share Activity: Simplify each expression. A.) B.) C.) D.) 13
  14. 14. e.) 7 3 ab f.) 4x6 ab2 2x3 g.) 9y5 h.) 12x7y4 3y2 3xy2 14
  15. 15. Find the length of the missing side. Area = 8y5 2y2 Area = 15x3 3x 15
  16. 16. Extra Examples 16
  17. 17. Before You Leave Explain why the following example cannot be simplified using the Law of Exponents for Division. 45 33 17
  18. 18. Mr. Tjersland's Math 7 Homework: Castle Homework #6 due Friday 18
  19. 19. AIM: Laws of Exponents 12x7y4 3xy2 19
  20. 20. Attachments Cumulative Review Sheet 4.doc Math in the News Project Outline.doc

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