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Matematik   Tingkatan 3  Bab 1
                27.  Cari nilai bagi setiap yang berikut.    SP 1.2.5     TP3
                  Find the value of each of the following.
                                                  1  4                      1  5                  3
                                                                            5
                                                                                                  2
                                                  4
                          1                 (a)  16   = √16         (b)  243   = √243        (c)  9  = (√9 ) 3
                             3
                         3
                       27   = √27                   = 2                      = 3                    = 3 3
                           = 3                                                                      = 27
                         3                         5                        2                      2
                              4
                                                                                3
                                                                                                       5
                                                       6
                         4
                                                                                                   5
                                                                            3
                                                   6
                                  3
                                                             5
                                                                                     2
                   (d)  81   = ( √81)       (e)  729   = (√729 )    (f)  125   = ( √125)     (g)  32   = (√32 )
                                                                                                            2
                           = 3 3                     = 3 5                   = (5) 2                 = (2) 2
                           = 27                      = 243                   = 25                    = 4
                28.  Padankan setiap berikut dengan nilai yang betul.   SP 1.2.5     TP3
                  Match each of the following with the correct value.
                                                                                       1
                                2  ÷ 2 2     2  × 2 2       2 –3         2 0          2  2        (2 )
                                              3
                                 3
                                                                                                    3 2
                                  1            1            √2           2            32           64
                                  8

                29.  Permudahkan setiap yang berikut.   SP 1.2.6     TP4
                  Simplify each of the following.

                                                               1   3                       3             1
                                                           2 4 2
                                                                                                     12 4 4
                                                                                           4
                                                                                             –4 5
                                                                   2 2 3
                           1   2                         (3x y  )  × 3 x y                8 p q  × (8p q )
                    (2m n )  × 2 m n                (a)      18x y                   (b)             1
                       9 6 3
                               3
                                  –2 –4
                                                                2 –3
                                                                                               3 10 4 2
                          m n                               1  1  1    3                      (2 p q )
                            –3 5
                                                                                             3
                                                                                                        1
                                                                                                            1
                                                                                                                1
                                                               2
                                                            2
                                                                  2
                                                                y
                                                                       2 2 3
                           1
                       1  9( ) 6( )  2                    3 x 2( ) 4( )  × 3 x y            3( )      3( ) 12( ) 4( )
                               1
                                                                                                –4  5
                      2 m  3  n  3   × 2 m n            =          2 –3                 =   2  4  p q  × 2  4  p  4  q  4
                       3
                                   3
                                      –2 –4
                   =                                            18x y                              1   1   1
                             m n                            1  3                                2 3( ) 10( ) 4( )
                               –3 5
                                                                                                       2
                                                                                                        q
                                                                                                           2
                                                                                                   2
                                                                                                    p
                      1  +  2                              3 2   +  2                        9  3
                                                                                              +
                                                                       y
                                   n
                   = 2 3     3 m 3 + (–2) – (–3) 2 + (–4) – 5     =  1  18  2 x 1 + 2 – 2 2 + 3 – (–3)  1  2  4     4  –4 + 3 – 5 5 + 1 – 2
                                                                                              3 2
                   = 2m n                                 3 2                           =    2  2  p    q
                        4 –7
                                                               8
                   =   2m 4                             =  1 2 xy                          3
                                                          18
                      n 7                                 1                             = 2 p q
                                                                                           2
                                                                                             –6  4
                                                        =  xy
                                                             8
                                                                                            3
                                                                                               –6 4
                                                          2                             = √2  p q
                30.  Hitung nilai bagi setiap yang berikut.   SP 1.2.6     TP4
                  Calculate the value of each of the following.
                                                              1      1
                                                                                              3
                                                                                         4
                                                            4 3
                                                                    2 12
                                                         (25 )  × (25 )                  ( √16)  × 5 –2
                                   1
                      1          3( )(4)            (a)                              (b)        1
                                                               –2 2
                    (8 )  × 3 –2  =   2  3   × 3 –2           (2 )                          (16 )
                      3 4
                                                                                              5 4
                         1          3(2)( )                2(4)( )  2(2)(  1  )
                                      1
                                                              1
                                                                                              1
                        2 3
                      (8 )         2  3                 =   5  3   × 5  12                 2 4( )(3)  × 5 –2
                                                                                              4
                             = 2 4 – 2  × 3 –2              8  2 –2(2)                  =      4(5)( )
                                                                                                 1
                                                                                                 4
                                                                1
                                                            3
                             =  2 2                       5  × 5  3                     = 2 3 – 5 2  –2
                                                                                               × 5
                                3 2                     =   2 –4                            1
                             =  4                          8  +  1                      =  2  × 5 2
                                                                                           2
                                9                       = 5 3     3  × 2
                                                                 4
                                                        = 5 × 2 4                       =   1
                                                          3
                                                        = 2 000                           100
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