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CAPITULO XXVIII

Problemas sobre ecuaciones simultaneas
Ejercicio 205
Desarrollar:
  1. (4 a 2 ) 2 = 4 2 a 2 × 2 =16 a 4
  2. (5a ) 3 = (5 ) 3 a 3 =125 a 3
  3. (3xy ) 3 = 3 3 x 3 y 3 =27 x 3 y 3
  4. (6 a 2 b ) 2 = (6 ) 2 a 2 × 2 b 2 =36 a 4 b 2
  5. (2 x 2 y 3 ) 3 = (2 ) 3 x 2 × 3 y 3 × 3 =8 x 6 y 9
  6. (4 a 2 b 3 c 4 ) 3 = 4 3 a 2 × 3 b 3 × 3 c 4 × 3 =64 a 6 b 9 c 12
  7. (6 x 4 y 5 ) 2 = (6 ) 2 x 4 × 2 y 5 × 2 =36 x 8 y 10
  8. (7a b 3 c 4 ) 3 = (7 ) 3 a 3 b 3 × 3 c 4 × 3 =343 a 3 b 9 c 12
  9. ( a m b n ) x = a mx b nx
  10. (2 x 3 y 5 z 6 ) 4 = (2 ) 4 x 3 × 4 y 5 × 4 z 6 × 4 =16 x 12 y 20 z 24
  11. (3 m 3 n ) 3 = (3 ) 3 m 3 × 3 n 3 =27 m 9 n 3
  12. ( a 2 b 3 c ) m = a 2m b 3m c m
  13. ( m 2 n x 3 ) 4 = ( m 2 ) 4 n 4 x 3 × 4 = m 8 n 4 x 12
  14. (3 a 2 b ) 5 = (3 ) 5 a 2 × 5 b 5 =243 a 10 b 5
  15. (7 x 5 y 6 z 8 ) 2 = 7 2 x 5 × 2 y 6 × 2 z 8 × 2 =49 x 10 y 12 z 16
  16. ( x 2y ) 2 = (x ) 2 2 2 y 2 = x 2 4 y 2
  17. ( 2m n 2 ) 3 = (2m ) 3 n 2 × 3 = 8 m 3 n 6
  18. ( a b 2 5 ) 3 = a 3 b 2 × 3 5 3 = a 3 b 6 125
  19. ( 3 x 2 4y ) 2 = (3 ) 2 x 2 × 2 4 2 y 2 = 9 x 4 16 y 2
  20. ( 2a b 2 3 m 3 ) 4 = (2 ) 4 a 4 b 2 × 4 3 4 m 3 × 4 = 16 a 4 b 8 81 m 12
  21. ( 2 m 3 n 3 x 4 ) 5 = 2 5 m 3 × 5 n 5 3 5 x 4 × 5 = 32 m 15 n 5 243 x 20
  22. ( 3 4 a 3 b 2 ) 2 = ( 3 4 ) 2 a 3 × 2 b 2 × 2 = 9 16 a 6 b 4
  23. ( 1 3 m n 2 ) 4 = ( 1 3 ) 4 m 4 n 2 × 4 = 1 81 m 4 n 8
  24. ( 1 2 a 2 b 4 ) 5 = ( 1 2 ) 5 a 2 × 5 b 4 × 5 = 1 32 a 10 b 20