2

							                                                              .2

                                                                                               :
                                                      .                         19    27
                                                      .                         20    29
                                                      .                         20    28



                                                                                                        .2

                                                                                           :           .1.2
    an      a                  n                                                  n                    a §
                                                                                                   :
                                          an = a × a × … × a
                                                          n
                                                                          a1= a : a                      §
                                   1
                          a-n =       :                           n              a                       §
                                   an


                                              a0 = 1. :                    a                   :
                                                                                                   :
                               1 1
55=5×5×5×5×5          , 4-2=     =
                               42 16
                                                                                                       .2.2
                                   .                          n       m                            b     a
•   am × an = a m + n .
•   (am)n = am n .
     am
•       = am – n
     an
•   (ab)n = an bn .
            n
     a n a
•    = n
    b b




                                                  1                                            :
                                              .2


                                                                                     :
52 ×54 = 52+4 =5 6 =15625            ( 62)3 = 62×3=66=46656
42 2-5 -3 1 1
   =4 =4 = 3 =                       (4×5)2 =42×52 = 16 × 25=400
45        4 64
 4 42 16
( )2 = 2 =
 5    5 25


                                                                         :           .1.2.2
                   an a-n = a0 =1:    n                              a
                                                                 n
                                                   (-1)n =1                  n           -
                                                     (-1)n =-1               n           -
                                                                                     :
(-2)5 = - 25   , (-7)4 =74




                                                   19            26
                                                   20            31




                                          2                                      :