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Simple question

  1. Jul 16, 2013 #1
    1. The problem statement, all variables and given/known data

    Why is ##(-1)^{n+1} (-1)^{n+1} = (-1)^{2n+2}## but
    ##(-1)^{n+1} (1)^{n+1} = (-1)^{n+1}##
    I thought in both instances you are to just add the exponents.



    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jul 16, 2013 #2

    Zondrina

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    Homework Helper

    1 to the power of anything is just 1. Right?

    EDIT : Also, to be a bit more general, you need to have the same bases.
     
  4. Jul 16, 2013 #3
    Thanks. I can't even believe myself some days
     
  5. Jul 16, 2013 #4

    Zondrina

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    Homework Helper

    Ha no problem :), we all have those.
     
  6. Jul 16, 2013 #5
    Because:
    I:
    [tex]a^x\cdot a^x=a^{x+x}[/tex]
    II:
    [tex]a^x\cdot b^x=(a\cdot b)^{x}[/tex]
     
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