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Opener:   Skills Competition!!!!


          Ready....Set....Go!


           Simplify each expression without a calculator for # 1‐4 
           (if possible).  Solve for x in # 5.


           1.) 32(38)

           2.) 32+ 38

           3.) 24(54)

           4.) x(x)(x)(y)(y)(y)

           5.) 3x‐1= 9




                                                                      1
Homework 
Questions:




             2
March 4th (Day 14):      More Basic Rules of Exponents 

Topic One:            Expand the following:
Dividing Like Bases                     27
                                        23




                      Is there anything that we can reduce or cancel out?




                      Looking back at our original, what is a simple rule we 
                      could use to divide like bases?




                                                                                3
Topic One (cont)...     Compute each quotient, without a calculator.
Dividing Like Bases
  It's Your Turn!
               (Ex. #1)   35
                          33




             (Ex. #2)   109
                        108




             (Ex. #3)   63x9
                        3322x5




                                                                       4
Topic Two:           Expand the following expression:
Raising an Exponent               (75)3
to Another Exponent


                     How can we now simplify this to 7 raised to a single 
                     power?




                     Looking back at our original, what is a rule we could use 
                     to raise an exponent to another exponent?




                                                                                  5
Topic Two (cont)...        Simplify each expression.
Raising an Exponent 
to Another Exponent
      It's Your Turn!
                             4 3
                  (Ex. #1) (2 )




                         2 3
              (Ex. #2) (5 )




               (Ex. #3) (x6)7




                                                       6
Topic Three:       Expand the following expression:
Distributing an                           (xy)4
Exponent to a 
Quantity



                   How can we simplify this without using parentheses?




                   Looking back at our original, what property could we 
                   have used to get the same result?




                   What is a general rule we can use for problems where 
                   we have to distribute an exponent to a quantity?




                                                                           7
Topic Three (cont)... Expand each expression.
Distributing an 
Exponent to a 
Quantity
                          2 3
              (Ex. #1) (7a b)




               (Ex. #2)




It's Your Turn!!!
                           2 3
              (Ex. #3) (10x )




               (Ex. #4)




                                                8
9

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6 3 Notes A

  • 1. Opener: Skills Competition!!!! Ready....Set....Go! Simplify each expression without a calculator for # 1‐4  (if possible).  Solve for x in # 5. 1.) 32(38) 2.) 32+ 38 3.) 24(54) 4.) x(x)(x)(y)(y)(y) 5.) 3x‐1= 9 1
  • 3. March 4th (Day 14):      More Basic Rules of Exponents  Topic One: Expand the following: Dividing Like Bases 27   23 Is there anything that we can reduce or cancel out? Looking back at our original, what is a simple rule we  could use to divide like bases? 3
  • 4. Topic One (cont)... Compute each quotient, without a calculator. Dividing Like Bases It's Your Turn! (Ex. #1)   35   33 (Ex. #2)   109   108 (Ex. #3)   63x9   3322x5 4
  • 5. Topic Two: Expand the following expression: Raising an Exponent  (75)3 to Another Exponent How can we now simplify this to 7 raised to a single  power? Looking back at our original, what is a rule we could use  to raise an exponent to another exponent? 5
  • 6. Topic Two (cont)... Simplify each expression. Raising an Exponent  to Another Exponent       It's Your Turn! 4 3 (Ex. #1) (2 ) 2 3 (Ex. #2) (5 ) (Ex. #3) (x6)7 6
  • 7. Topic Three: Expand the following expression: Distributing an  (xy)4 Exponent to a  Quantity How can we simplify this without using parentheses? Looking back at our original, what property could we  have used to get the same result? What is a general rule we can use for problems where  we have to distribute an exponent to a quantity? 7
  • 8. Topic Three (cont)... Expand each expression. Distributing an  Exponent to a  Quantity 2 3 (Ex. #1) (7a b) (Ex. #2) It's Your Turn!!! 2 3 (Ex. #3) (10x ) (Ex. #4) 8
  • 9. 9