Transcript
Apost. 01.
Potencia¸ c˜ ao Propriedades
1) am · an = am+n
c)
23 32
2 =
(23 )2 26 = (32 )2 34
a) 23 · 26 = 23+6 = 29 b) 49 · 42 · 47 = 49+2+7 = 418
6) a−n =
1 , se a 6= 0 an
a) 2−1 =
am 2) n = am−n a
1 1 = 1 2 2
23 a) 6 = 23−6 = 2−3 2
−1 1 4 4 3 = = b) 4 3 3
49 b) 2 = 49−2 = 47 4
−2 2 2 3 c) = 3 2
3) (am )n = am·n
7) a0 = 1, se a 6= 0
3
a) (32 ) = 32·3 = 36 h
3 3
b) (2 )
i3
a) 100000 = 1
= 23·3·3 = 227
b)
4) am · bm = (a · b)m
23 23 = = 23 70 1 h
4 3
c) (3 ) 3
3
3
i0
=1
3
a) 3 · 4 = (3 · 4) = 12
b) (42 · 23 )2 = (42 )2 · (23 )2 = 44 · 26 m
5)
a bm
m a = b
3 23 2 a) 3 = 5 5 82 b) 2 = 2
2 8 = 42 2
Com base Negativa a) (−2)2 = (−2) · (−2) = 4 b) (−3)3 = (−3) · (−3) · (−3) = −27 c) −43 = −4 · 4 · 4 = −64
d)
(−1)3 −1 1 = =+ 2 −2 −4 4
Pedro Ara´ ujo