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PRELIMINARES

Valor numérico de expresiones simples
Ejercicio 11
En el siguiente grupo de ejercicios se reemplaza cada letra por su respectivo valor numérico, y se realizan las operaciones indicadas
Hallar el valor numérico de las expresiones siguientes para a =1, b =2, c = 3, m = 1 2 , n = 1 3 , p = 1 4 :
  1. 3ab=3( 1 ) ( 2 ) =6
  2. 5 a 2 b 3 c=5(1 ) 2 (2 ) 3 ( 3 ) =5( 1 ) ( 8 ) ( 3 ) =120
  3. b 2 mn=(2 ) 2 ( 1 2 ) ( 1 3 ) =( 1 ) = 2 3
  4. 24 m 2 n 3 p=24 ( 1 2 ) 2 ( 1 3 ) 3 ( 1 4 ) =( 1 ) ( 1 ) ( 1 ) = 1 18
  5. 2 3 a 4 b 2 m 3 = 2 3 ( 1 ) 4 ( 2 ) 2 ( 1 2 ) 3 = 2 3 ( 1 ) () ( 1 ) = 1 3
  6. 7 12 c 3 p 2 m= 7 12 ( 3 ) 3 ( 1 4 ) 2 ( 1 2 ) = 7 () ( 1 16 ) ( 1 2 ) = 63 128
  7. m b n c p a = ( 1 2 ) 2 ( 1 3 ) 3 ( 1 4 ) 1 =( 1 4 ) ( 1 27 ) ( 1 4 ) = 1 432
  8. 5 6 a b1 m c2 = 5 6 ( 1 2 ) (32 ) = 5 6 ( 1 2 ) = 5 12
  9. 2b c 2 = 2( 2 ) (3 ) 2 = 2 2 2 3 2 2 =2 × 3=6
  10. 4m 12b c 2 3 =( 1 ) 12( 2 ) (3 ) 2 3 =2 (2 ) 2 ( 3 ) ( 2 ) (3 ) 2 3 =2 (2 ) 3 (3 ) 3 3 =2 × 2 × 3=12
  11. mn 8 a 4 b 3 =( 1 2 ) ( 1 3 ) (2 ) 3 (1 ) 4 (2 ) 3 = 1 6 2 2 = 1 × = 4 3
  12. 4a 3bc = ( 1 ) 3(2 ) ( 3 ) = 2 9
  13. 5 b 2 m 2 np = 5(2 ) 2 ( 1 2 ) 2 ( 1 3 ) ( 1 4 ) = 5 (2 ) 2 ( 1 2 2 ) 1 12 = 5 1 12 =5 × 12=60
  14. 3 4 b 3 2 3 c 2 = 3 4 (2 ) 3 2 3 (3 ) 2 = 3 2 2 2 3 (3 ) 2 = 6 6 =1
  15. 2m n 2 = 2 ( 1 2 ) ( 1 3 ) 2 = 1 1 3 =3
  16. 24mn 2 n 2 p 2 = ( 1 2 ) ( 1 3 ) 2 ( 1 3 ) 2 ( 1 4 ) 2 = 2 1 12 =24
  17. 3 64 b 3 c 6 3 2m = 3 (4 ) 3 (2 ) 3 (3 ) 3 2 ( 1 2 ) =3( 4 ) ( 2 ) ( 9 ) =216
  18. 3 5 ap b 2 3 2 125bm 3 = 3 5 ( 1 ) ( 1 4 ) 2 2 3 2 (5 ) 3 (2 ) ( 1 2 ) 3 = 3 5 3 2 ( 5 ) = 2 25