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Clase 2

Clase 2. m. n. 5. a m. a =. a 3. n. 5. 4. a. Radicales. Propiedades. m. n. a m. a =. n. Definición de potencia de exponente fraccionario. (a  0; m, n  Z; n  1 ). n. n. n. a · b = a·b. a · b = (a·b). a : b = (a:b). n. n. n.

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Clase 2

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  1. Clase 2 m n 5 am a = a3 n 5 4 a Radicales. Propiedades

  2. m n am a = n Definición de potencia de exponente fraccionario (a  0; m, n  Z; n  1)

  3. n n n a · b = a·b a · b = (a·b) a : b = (a:b) n n n a : b = a:b m n n am a = m 1 1 1 m 1 1 1 1 1 1 n n n n n n n n n m n m m n mn a = a 1 a = a = a a nm km m km an akn = kn = a a Propiedades Potencia Radicales

  4. a) b) n n n n n n p a · b = a ·b a – b = a – b n n p c) d) = a a n n+p p a a = n m n n nr p e) a : b = a :b f) = a apr Si a≥0, b≥0 dí cuáles de las si- guientes relaciones son verda- deras o falsas. Ejercicio V F V F V F

  5. 1. El índice no tiene factores comunes con el exponente del radicando. n n n a · b = a·b n n n a : b = a:b 2. Se han extraído los factores que son raíces exactas. 3. El radicando no tiene denominadores. m km an akn = Un radical está simplificado cuando:

  6. 6 3 √81 6 3 = √9 √125 = √34 = √32 = 5 √5 = √53 1 = = √2 √2 √2 √2 √2 √ 1  1 2 = 2  Ejemplos:

  7. Para el estudio individual Reduce tanto como sea posible los siguientes radicales. 4 3 a) 16 x5y b) 16(m – n)5 c) 8p2(r – s)3

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