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Indices math homework

  1. Dec 7, 2009 #1
    Hi!I have got problem on Indices ( which i think i 'm not nearing any solution )
    1. The problem statement, all variables and given/known data
    Well the sum is

    a m^n= (a m)n
    Now it is to be expressed in terms of n

    2. Relevant equations
    none


    3. The attempt at a solution

    I tried this way
    as the bases are same
    .: m n= m x n
    =m n-1=n
    (is this going to go any further??)

    I would be very happy if anyone helped.!!
    Thanks!
     
  2. jcsd
  3. Dec 7, 2009 #2

    Mark44

    Staff: Mentor

    Re: Indices

    This is incorrect, and it is not a sum. You have a sum when you add expressions.

    Let's look at an example to make things more concrete.

    234 = 281
    (23)4 = 84 = 4096 = 212. Clearly the two expressions above are unequal.

    In general, amn [itex]\neq[/itex] (am)n.
    BTW, in English what you are calling an index, we would call an exponent.
    It shouldn't go even this far. mn [itex]\neq[/itex] m x n, and mn - 1 [itex]\neq[/itex] n. I can't even tell what you're trying to do here.
     
  4. Dec 8, 2009 #3
    Re: Indices

    Actually by sum I mean 'problem'.
     
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