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CAPITULO XXX

TEORIA DE LOS EXPONENTES
Ejercicio 219
Expresar con exponentes positivosy simplificar:
  1. a 2 b 3 = a 2 b 3
  2. 3 x 5 = 3 x 5
  3. a 4 b 1 2 = 1 a 4 b 1 2 = 1 a 4 b
  4. 3 x 2 y 1 3 = 3 x 2 y 1 3 = 3 x 2 y3
  5. m 1 2 n 5 = 1 m 1 2 n 5 = 1 m n 5
  6. a 2 b 1 c= a 2 c b
  7. 4 x 2 y 3 5 = 4 x 2 y 3 5 = 4 x 2 y 3 5
  8. 5 a 1 3 b 3 4 c 1 = 5 a 1 3 b 3 4 c = 5 a3 b 3 4 c
  9. 1 2 x 2 = 1 2 x 2 = x 2 2
  10. 3 x 1 y 5 = 3 1 x y 5 =3x y 5
  11. 2 a 2 b 3 a 4 c 1 = 2 a 2 b 3 1 a c = 2 a 2 c b 3
  12. x 1 y 2 z 3 a 2 b 5 c 8 = 1 x y 2 z 3 1 a 2 b 5 c 8 = a 2 b 5 c 8 x y 2 z 3
  13. 3 m 4 n 1 2 8 m 3 n 4 = 3 m 4 n 1 2 8 m 3 n 4 = 3 8 n 4 1 2 = 3 8 n 7 2 = 3 8 n 7
  14. 4 a 1 2 7 a 4 b 2 c 2 3 = 4 a 1 2 b 2 7 a 4 c 2 3 = 28 a 1 2 +4 c 2 3 b 2 = 28 a 9 2 c 2 3 b 2 = 28 a 9 c 2 3 b 2 = 28a a 7 c 2 3 b 2
  15. 2 m 5 n 7 a 2 m 3 n 4 = 2 m 53 n 7+4 a 2 = 2 m 8 n 3 a 2 = 2 a 2 m 8 n 3
  16. a 1 2 x 2 3 a 3 x 2 y 1 = a 1 2 3 x 22 y 3 = a 7 2 x 4 y 3 = y 3 a 7 2 x 4 = y 3 a 7 x 4
  17. c 2 4 b 1 2 x 3 = c 2 b 1 2 4 x 3 = c 2 b 4 x 3
  18. 1 3 a 3 4 b 2 5 c 4 = a 3 4 b 2 5 3 c 4 = a 3 4 b 2 5 3 c 4
  19. 3 a 2 mn a 3 m 1 2 n 3 4 =3 a 2+3 m 1+ 1 2 n 1+ 3 4 =3 a 5 m 3 2 n 7 4 =3 a 5 m 3 2 n 7 4 =3 a 5 m 2 .m 2 n 4 . n 3 4 =3 a 5 mn m2 n 3 4
  20. x 2 3 y 3 4 x 2 y z 1 2 = x 2 3 2 y 3 4 1 z 1 2 = x 8 3 y 7 4 z 1 2 = z 1 2 x 8 3 y 7 4 = z x 8 3 y 7 4 = z x 5 . x 3 3 y 4 . y 3 4 = z xy x 5 3 y 3 4