how would i evaluate this problem

Algebra
Tutor: None Selected Time limit: 1 Day

evaluate 49^3/2 by writing it in the form(49^3)^1/2

Sep 29th, 2015

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49^3/2 = (49 ^3)^1/2                       because (a^m)^n = a^(mn)

            =  (( 7^2)^3)^1/2

            = ( 7^(2*3) )^1/2

            = ( 7^6 )^1/2

           =   7^(6*1/2 )

          = 7 ^(6/2 )

         = 7^3

          =7*7*7

          = 49*7

          =343.............................answer


49^3/2  = 343


hope you understood..please message if you have any doubts...thank you
Sep 29th, 2015

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