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Potències
1.
Potències an = a·a·a·a·a·a.......a
(n vegades) 73 = 7·7·7 = 243 (-5)4= (-5)·(-5)·(-5)·(-5)=625 3 3 3 3 3 27 · · 4 4 4 4 64 3 5 5 5 5 125 · · 3 3 3 3 27
2.
5
3 8 2 ·2 2·2·2·2·2 · 2·2·2 2 7 3 3 ·3·3·3·3·3 ·3 2 5 3·3 3 3 3·3·3·3·3
3.
Propietats de les
potències n n m n m a n m a ·a a m a a n n n n a an a·b a ·b b bn n m n ·m a n b n bn a a n b a a 0 a 1 a n 1 n a
4.
Exercicis de potències
5 5 2 2 3 3 4 3 1 2 5 3 ( 2) 5 5 2 3 3 ( 3) 5 ( 4) 5 2 2 5 12 3 2 5 3 2
5.
23 25 23
53 53 5 3 26 2 53 3 3 3 ·3 ·3· 3 4 73 75 32 · 3 74 72 7 43 45 4 3 33 35 33 4 24 36 3 34 2 2 2 3 23 83 45 23 22 2 1 26 4 2
6.
Notació científica Per expressar
nombres molt gran o molt petits Nombre = a , b c d 10n Part sencera Part decimal Potència entera una xifra en base 10 Exemple 137523986409881211187390220 km = 1,375 1026 0,00000000000000000007390220 km = 7,3 10-20
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