1 2 2

:

  1. #1

    Jul 2012
    5,302

    :-
    1) :-
    ( 27 )^2/3 ( 16 )^3/4
    :-
    ( 27 )^2/3 ( 16 )^3/4 = ( 3^3 )^2/3 ( 2^4)^ 3/4
    = 3^ 3 2/3 2^4 3/4 = 3^2 2^3 = 9 8 = 72

    2) ( 3^4 4^2 5^3 )^2 ( 60 )^6
    :-
    = ( 3^3 4^2 5^3 )^2 / ( 60 )^6 = 3^8 4^4 5^6 / ( 3 4 5 )^6
    = 3^ 8 -6 4^4 - 6 5^ 6 - 6 = 9 1 / 16 = 9 / 16

    3)2 ( 189 ) + 3 ( 875 ) - 7 ( 56 )
    :-
    2 ( 27 7 ) + 3 ( 125 7 ) - 7 ( 8 7 )
    2 3 (7) + 3 5 ( 7) - 7 2 ( 7 )
    6 7 + 15 7 - 14 7
    ( 6 + 15 - 14 ) 7
    7 7

    :-

    ( 27 ^ ) ( 9 ^ ) = ( 243 )

    = 3

    :-

    ( ( 27 ^ ) ( 9 ^ ) ) = ( 243 )

    27 ^ 1/ 2 9 ^ 1/ 2 = 243 ^ 1/ 2

    3 ^ 3/ 2 3 ^ 3/ 2 = 3 ^ 5 / 2



    3 / 2 + 3/ 2 = 5 / 2

    2 + 3 = 5

    = 3
    2 3 + 3 = 5

    3 = 5 - 6 ................ = - 1 / 3

    :-

    ^ - 1 / 3 = 2

    :-

    ^ - 1/ 3 )^3 = 2 ^ 3

    ^ - 1 = 2^3

    1 / = 8 .................. = 1 / 8

    :-

    ( 27 ^ ) ( 9 ^ ) = ( 243 )

    = 1

    :-

    27 ^ = 3 ^3 = 3 ^ 3 1 / 2 = 3 ^ 3 / 2

    9 ^ = 3 ^ 2 = 3 ^ 2 1 / 2 = 3 ^

    243 = 3 ^ 5 1 / 2 = 3 ^ 5 / 2

    = 3 ^ 3 / 2 3 ^ = 3 ^ 5 / 2

    = 3 ^ 3 / 2 + = 3 ^ 5 / 2



    3 / 2 + = 5 / 2

    = 3 / 2 + 1 = 5 / 2 ................... 3 / 2 = 5 / 2 - 1

    3 / 2 = 3 / 2 ............ 2 / 3

    = 1

    __________________

    :-

    ^ - 2 = 4 ^2

    :-

    ^ - 2 = 4

    ^ - 2 = 1 / 4 ^- 1

    ^ -2 = 1 / 2^ - 2

    = 1 / 2 ........... ^2 = 1/ 4

    __________________














  2. #2
      Eiman
    Jul 2011
    -
    14,750

    :

    .......

: 1 (0 1 )