Ejercicio 244

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CAPITULO XXXI

R a d i c a l e s
División de radicales de distinto índice
Ejercicio 244
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  1. 23 ÷ 2 23 = 2 2 6 2 = 2 3 6 23 ÷ 2 = 2 2 6 ÷ 2 3 6 = 2 2 2 3 6 = 1 2 6 = 1 2 × 2 5 2 5 6 = 2 5 2 6 6 = 1 2 2 5 6 = 1 2 326
  2. 9x ÷ 3 x 2 3 9x = 3 2 x =3 x =3 x 3 6 3 x 2 3 = (3 x 2 ) 2 6 = 3 2 x 4 6 9x ÷ 3 x 2 3 =3 x 3 6 ÷ 3 2 x 4 6 =3 x 3 3 2 x 4 6 =3 1 3 2 x 6 =3 1 3 2 x × 3 4 x 5 3 4 x 5 6 =3 3 4 x 5 3 6 x 6 6 = 3 3 x 3 4 x 5 6 = 1 x 81 x 5 6
  3. 8 a 3 b 3 ÷ 4 a 2 4 8 a 3 b 3 = 2 3 a 3 b 3 =2a b3 =2a b 4 12 4 a 2 4 = ( 2 2 a 2 ) 3 12 = 2 6 a 6 12 8 a 3 b 3 ÷ 4 a 2 4 =2a b 4 12 ÷ 2 6 a 6 12 =2a b 4 2 6 a 6 12 =2a b 4 2 6 a 6 × 2 6 a 6 2 6 a 6 12 =2a 2 6 a 6 b 4 2 12 a 12 12 = 2a 2a (2a ) 6 b 4 12 = 2a b3
  4. 1 2 2x ÷ 1 4 16 x 4 6 1 2 2x = 1 2 (2x ) 3 6 1 4 16 x 4 6 = 1 4 (2x ) 4 6 1 2 2x ÷ 1 4 16 x 4 6 = 1 2 (2x ) 3 6 ÷ 1 4 (2x ) 4 6 = 1 2 (2x ) 3 6 1 (2x ) 4 6 =2 (2x ) 3 (2x ) 4 6 =2 1 2x × (2x ) 5 (2x ) 5 6 =2 (2x ) 5 (2x ) 6 6 = 2 1 2 x (2x ) 5 6 = 1 x 32 x 5 6
  5. 5 m 2 n 3 ÷ m 3 n 2 5 5 m 2 n 3 = (5 m 2 n ) 5 15 = 5 5 m 10 n 5 15 m 3 n 2 5 = ( m 3 n 2 ) 3 15 = m 9 n 6 15 5 m 2 n 3 ÷ m 3 n 2 5 = 5 5 m 10 n 5 15 ÷ m 9 n 6 15 = 5 5 m 10 n 5 m 9 n 6 15 = 5 5 m n × n 14 n 14 15 = 5 5 m n 14 n 15 15 = 1 n 3125m n 14 15
  6. 18 x 3 y 4 z 5 6 ÷ 3 x 2 y 2 z 3 4 18 x 3 y 4 z 5 6 = (18 x 3 y 4 z 5 ) 2 12 = 1 8 2 x 6 y 8 z 10 12 3 x 2 y 2 z 3 4 = (3 x 2 y 2 z 3 ) 3 12 = 3 3 x 6 y 6 z 9 12 18 x 3 y 4 z 5 6 ÷ 3 x 2 y 2 z 3 4 = 1 8 2 x 6 y 8 z 10 12 ÷ 3 3 x 6 y 6 z 9 12 = 2 2 . 3 4 x 6 y z 10 3 3 x 6 y 6 z 9 12 = 12 y 2 z 12
  7. 3 m 4 3 ÷ 27 m 2 9 3 m 4 3 = (3 m 4 ) 3 9 = 3 3 m 12 9 27 m 2 9 = 3 3 m 2 9 3 m 4 3 ÷ 27 m 2 9 = 3 3 m 12 9 ÷ 3 3 m 2 9 = 3 3 m 3 3 m 2 9 = m 10 9 = m 9 .m 9 =m m9
  8. 4 5 4ab 3 ÷ 1 10 2 a 2 4 5 4ab 3 = 4 5 (4ab ) 2 6 = 4 5 2 4 a 2 b 2 6 1 10 2 a 2 = 1 10 (2 a 2 ) 3 6 = 1 10 2 3 a 6 6 4 5 4ab 3 ÷ 1 10 2 a 2 = 4 5 2 4 a 2 b 2 6 ÷ 1 10 2 3 a 6 6 = 4 5 2 4 a 2 b 2 6 1 2 3 a 6 6 =8 2 4 a 2 b 2 2 3 a 6 =8 2 b 2 a 4 × a 2 a 2 6 =8 2 a 2 b 2 a 6 6 = 8 a 2 a 2 b 2 6