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Law of indices

Comments

  • #2
    Delphi91
    Registered Users, Registered Users 2 Posts: 1,501 ✭✭✭Delphi91


    Reverse the first law to get:
    [latex]1 = a^0[/latex]

    So the second law can be re-written as
    [latex]\displaystyle a^{-m} = \frac{1}{a^m} = \frac{a^0}{a^m}[/latex]

    Now focus on the last two terms and apply rule 4 to the last term
    [latex]\displaystyle \frac{a^0}{a^m}= a^{0-m} = a^{-m}[/latex]

    This therefore gives
    [latex]\displaystyle \frac{1}{a^m} = a^{-m}[/latex]


  • #3
    owenc
    Banned (with Prison Access) Posts: 5,524 ✭✭✭owenc


    Thank you. I did some practise questions and can now recite the laws, there were just a few laws that were similar.


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