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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