Chuleta Potencias

  • June 2020
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  • Words: 212
  • Pages: 3
Exponente

n a Base

Definición: an=a·a·a·……a n veces

(-a)n=(-a)·(-a)·(-a)……(-a) n veces

+

an (si n es par) ejem: (-a)2= (-a)·(-a)= a2 (-a)n=

-an(si n es impar) ejem: (-a)3= (-a)·(-a)·(-a)= -a3 +

-

Producto de potencias de la misma base a2 · a3· a5=a·a · a·a·a · a·a·a·a·a=a2+3+5=a10

22 · 23· 25=2·2 · 2·2·2 · 2·2·2·2·2=22+3+5=210

(-a)2·(-a)3·(-a)5=(-a)·(-a) · (-a)·(-a)·(-a) · (-a)·(-a)·(-a)·(-a)·(-a)=(-a)2+3+5=(-a)10

22 · 23· 25==22+3+5=210

División de potencias de la misma base 4 a a :a = 3 == a·a·a·a = a1 = a4-3 a a·a·a 4

3

3·3·3·3 a344 3 3 :3 = a 3 = 3·3·3 = 31 = 34-3 3 4

3

=1

=1 4 44 a a a a : a = a333 = a·a·a__ = 1 =a-1 a a·a·a a aa 3

4

=1

a3-4 = a-1

4 4 4 : 4 = 3 4 3

4

=

1 4·4·4__ = =4-1 4 4·4·4 4 =1

43-4 = 4-1

(-a)4:(-a)3 = (-a)4-3 = (-a)1=(-a)= - a

3

4

3-4

(-a) :(-a) = (-a)

= (-a) = 1_ =(-a)-1= - a-1 (-a) -1

Potencia de una potencia (a2)3=(a2)· (a2)· (a2)=(a·a)· (a·a)· (a·a)= a·a·a·a·a·a = a6

2·3

(-5)4:(-5)3 = (-5)4-3 = (-5)1=(-5)= - 5

3

4

3-4

(-6) :(-6) = (-6)

1_ = (-6) = (-6) =(-6)-1= - 6-1 -1

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