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Matematik   Tingkatan 3  Bab 1
                10.  Lengkapkan setiap yang berikut.   SP 1.2.2     TP2
                  Complete each of the following.


                   (a)   2 × 2 × 2 × 2 × 2 × 2   =   2  6  (b)  p  ÷ p  =   p  8           Secara generalisasi
                                                                                           By generalisation,
                                                          8
                                                              4
                            2 × 2 × 2          3
                                             2                   p  4                      a  ÷ a  = a  m – n
                                                                                            m
                                                                                                 n
                         2 × 2 × 2 × 2 × 2 × 2   = 2  3     p × p × p × p × p × p × p × p   = p  4
                            2 × 2 × 2                           p × p × p × p
                11.  Rajah  di  bawah  menunjukkan  pembahagian  dua  nombor  dalam  bentuk  indeks  dan  hasil  bahaginya.
                  Senaraikan tiga set pembahagian nombor yang lain.   SP 1.2.2     TP3    i-Think  Peta bulatan
                                                                                     i-Think
                                                                                     i-Think
                  The diagram shows the division of two numbers in index form and its quotient. List three other sets of division of numbers.



                                     7  ÷ 7 5
                                      10
                                                              Mana-mana jawapan lain               Tip Penting
                                                                    yang sesuai
                             7  ÷ 7 3  7 5                      Any other possible answers     Hukum indeks
                              8
                                                                                               Law of indices
                                                                                               •  a  ÷ a  = a m  – n
                                                                                                 m
                                                                                                     n
                                            7  ÷ 7
                                             6
                                 7  ÷ 7 4
                                  9

               12.  Permudahkan setiap yang berikut.   SP 1.2.2     TP3
                  Simplify each of the following.

                                                                           7 9
                                                                                  6 2
                   (i)  4  ÷ 4                                      (ii)  54a b  ÷ 9a b
                             5
                        11
                       = 4 11 – 5                                       =  54 a 7 – 6  9 – 2
                                                                                b
                       = 4                                                9
                          6
                                                                        = 6ab
                                                                             7
                   (a)  8  ÷ 8  = 8 6 – 2           (b)   3 18    = 3 18 – 9         (c)  x  ÷ x ÷ x  = x 16 – 4 – 2
                                                                                              4
                                                                                                  2
                         6
                             2
                                                                                          16
                                                                                                      10
                                 4
                              = 8                        3 9                                       = x
                                                             = 3
                                                                9

                                                                    2
                                                                 2
                                                                                              10
                                                                                                          3
                                                           7
                                                                                                     2
                                   14y 7            (e)  36k  ÷ 6k  ÷ k              (f)  –25m  ÷ 5m  ÷ 5m
                           7
                   (d)  14y  ÷ 2y =
                                   2y                   =  36k 7  ÷ k 2                  =  –25m 10  ÷ 5m
                                                                                                       3
                                = 7y 7 – 1                 6k 2                              5m 2
                                                                                                       3
                                = 7y 6                  = 6k 7 – 2  ÷ k 2                = –5m 10 – 2  ÷ 5m
                                                                                                     3
                                                            5
                                                                                               8
                                                        = 6k  ÷ k 2                      = –5m  ÷ 5m
                                                        = 6k 5 – 2                       = –1m 8 – 3
                                                        = 6k                             = –m
                                                                                              5
                                                            3
                                                                                              7  6
                                                            4 8
                                                                   2 4
                                        y
                   (g)  x y  ÷ x y  = x 9 – 3 11 – 9    (h)  35g h  ÷ 5g h           (i)   121m n   = 11m 7 – 1  6 – 5
                        9 11
                                                                                                           n
                               3 9
                                                                                               5
                                 = x y                  =  35 g 4 – 2  8 – 4                11mn  = 11m n
                                    6 2
                                                                                                        6
                                                                 h
                                                           5
                                                        =7g h
                                                            2  4
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