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5.9 powers of products and quotients             December 05, 2011




       Objective: find powers of products and quotients


                                       Warm Up
                                       (22)3

                                       (b2)5




HW pg. 276 #5­60 mult of 5                                           1
5.9 powers of products and quotients                                December 05, 2011




      Product to a Power ­ distribute the power to each part.
                                                     m
      (5    3)4 = 54   3
                           4
                                       (ab)m = amb




     Quotient to a Power ­ distribute the power to both the numerator and 
     denominator.
               4                                m         m
                                        ()
                       4
                                           a   =  a
       ()  2   =  2
           3      34                       b      bm




HW pg. 276 #5­60 mult of 5                                                              2
5.9 powers of products and quotients            December 05, 2011




      Simplify.

      (4x2)3                           (xy2)5




      (­5x)2                           ­(5x)2




HW pg. 276 #5­60 mult of 5                                          3
5.9 powers of products and quotients             December 05, 2011




     Find the area of the square tile.

     A = s2
                                             3
                                             b
                                         3
                                         b




HW pg. 276 #5­60 mult of 5                                           4
5.9 powers of products and quotients   December 05, 2011




          ()      2  
                  3
                        4




HW pg. 276 #5­60 mult of 5                                 5
5.9 powers of products and quotients                              December 05, 2011




     Page 276                               34        ­xy     5     ­m  6
     White Boards
                             (3(2))2   (­10x )
                                                     ( )
                                                      2xy4
                                                                  ( )
                                                                    b3
                             (3j)3     ­(xy)
                                               2
                                                      2c  4          1    4
                             (rs3)4
                                                     ( )
                                                      d2
                                                                  ( )
                                                                    3x2
           2 2                         (­5b)
                                               3
        () 5                 (7t2)3                    x3    5      3t2  2
                                                                  ( )
                                           32
                                       (­5c )
                                                     ( )
                                                      2y4
                                                                     5

                             (4a5)2                                      2
                                       ­(x
                                             2y2)2    3x2   4
                                                     ( )          ( )
                                                                    ­2x  
                                                                     7y
                             (2c2)5                   10
                                                                        2
                             (c3)2
                                           4 3
                                       (­3a b)        ­3  2
                                                     ( )          ( )
                                                                     4  
                                                                    7y
                                                       7




HW pg. 276 #5­60 mult of 5                                                            6
5.9 powers of products and quotients   December 05, 2011




             HW pg. 276 #5­60 mult. of 5




HW pg. 276 #5­60 mult of 5                                 7

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5.9 notes

  • 1. 5.9 powers of products and quotients December 05, 2011 Objective: find powers of products and quotients Warm Up (22)3 (b2)5 HW pg. 276 #5­60 mult of 5 1
  • 2. 5.9 powers of products and quotients December 05, 2011 Product to a Power ­ distribute the power to each part. m (5    3)4 = 54   3 4 (ab)m = amb Quotient to a Power ­ distribute the power to both the numerator and  denominator. 4 m m () 4 a   =  a () 2   =  2 3 34 b bm HW pg. 276 #5­60 mult of 5 2
  • 3. 5.9 powers of products and quotients December 05, 2011 Simplify. (4x2)3 (xy2)5 (­5x)2 ­(5x)2 HW pg. 276 #5­60 mult of 5 3
  • 4. 5.9 powers of products and quotients December 05, 2011 Find the area of the square tile. A = s2 3 b 3 b HW pg. 276 #5­60 mult of 5 4
  • 5. 5.9 powers of products and quotients December 05, 2011 () 2   3 4 HW pg. 276 #5­60 mult of 5 5
  • 6. 5.9 powers of products and quotients December 05, 2011 Page 276  34 ­xy     5 ­m  6 White Boards (3(2))2 (­10x ) ( ) 2xy4 ( ) b3 (3j)3 ­(xy) 2 2c  4  1    4 (rs3)4 ( ) d2 ( ) 3x2 2 2 (­5b) 3 () 5 (7t2)3  x3    5 3t2  2 ( ) 32 (­5c ) ( ) 2y4  5 (4a5)2 2 ­(x 2y2)2 3x2   4 ( ) ( ) ­2x    7y (2c2)5 10 2 (c3)2 4 3 (­3a b) ­3  2 ( ) ( )  4   7y  7 HW pg. 276 #5­60 mult of 5 6
  • 7. 5.9 powers of products and quotients December 05, 2011 HW pg. 276 #5­60 mult. of 5 HW pg. 276 #5­60 mult of 5 7