Pangkat

Pengertian
An = Perkalian berulang a sebanyak n faktor
contoh :
1. 32 = 3 X 3 = 9
2. 43 = 4 X 4 X 4 = 64



Sifat bilangan berpangkat
1. An X Am = An+m
    Contoh :
    a. 23 X 24 = ( 2 X 2 X 2 X 2 ) X ( 2 X 2 X 2 ) = 27
    b. 32 X 33 = ( 3 X 3 ) X ( 3 X 3 X 3 ) = 35
2. An / Am = An-m
     23 / 22  = 2 X 2 X 2 / 2 X 2 = 2
    37 / 33 = 3 X 3 X 3 X 3 X 3 X 3 X 3 / 3 X 3 X 3 = 34 
3. ( An )m = A nxm
    ( 23 ) 2 = 23 X 23 = 26  
    ( 24 ) 3 = 34 X 34 X 34 = 312 
4. ( A/B )n = An / Bn
    ( 2/3 )4 = 2/3 X 2/3X 2/3 X 2/3 = 24/34
5. ( A X B )n = An X Bn
    ( 3 X 4 )2 = 3X4 X 3X4 = 32 X 42
    -22 = - ( 2 X 2 )  = -4
    ( -2 )2 = -2 X ( -2 ) = 4

Pangkat Nol
A0 = 1. 
50 = 53 / 53 = 1
1000 = 1 

Pangkat bulat negatif
A-n = 1/An
2-3 = 22 / 25 = 2 X 2 / 2 X 2 X 2 X 2 X 2 = 1/23 
3-2 = 36 / 38 = 3 X 3 X 3 X 3 X 3 X 3 / 3 X 3 X 3 X 3 X 3 X 3 X 3 X 3 = 1 / 32

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