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# 2

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دروس الرياضيات مع تصحيح

• pg 1
```									                                                              .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                                      :

```
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