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1451051
Leyes de exponentes y radicales
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A01620107/M6
Mind Map by
Claudia López
, updated more than 1 year ago
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Claudia López
almost 10 years ago
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Resource summary
Leyes de exponentes y radicales
6.1 leyes de exponentes I
regla del producto
a^m*a^n=a^m+n
x^5*x^-3= x^2
regla del cociente
a^m/a^n=a^m-n
m^-7/m^2= 1/m^9
regla del exponente negativo
a^-m= 1/a^m
x^-5= 1/x^5
regla del exponente cero
a^0= 1
5^0= 1
elevar una potencia a una potencia
(a^m)^n=a^mn
(b^-4)^-3= b^12
elevar un producto a una potencia
(ab)^m=a^m b^m
(x^5y^4)^3=x^15y^12
elevar un cociente a una potencia
(a/b)^m=a^m/b^m
(y^3/x^3)= y^6/x^6
6.2 radical como exponente fraccionario y viceversa
(n)√a^m= a^m/n
(-49)^-3/4= (4)√-49^-3
(n)√a^n= a
(3)√x^3= x
(n)√a= a^1/n
a= no negativo para (n) par
a= puede ser negativo si (n es impar)
81^1/3= (3)√81
6.3 simplificación de radicales con radicando entero
potencia perfecta: numero que puede ser escrito como una expresión
regla del producto de radicales
(n)√a*(n)√b= (n)√ab
(2)√5*(2)√3= (2)√5*3
regla del cociente de radicales
(n)√a/(n)√b= (n)√a/b
(3)√4/(3)√2= (3)√4/2
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