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Math Help - Indices and Logarithms

  1. #1
    Newbie
    Joined
    Jan 2014
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    Alaska
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    Indices and Logarithms

    Is the answers for this question correct?
    1. 9a4/3 X a-1/2
    ______________
    2a3/2 X 3a1/3

    Answer:
    3a4/3 X a-1/2
    = ______________
    2a3/2 X a1/3

    = 3a4/3
    ____________________
    2a3/2 X a1/3 X a1/2

    = 3a4/3
    ______________
    2a9/6 X a2/6 X a3/6

    = 3a4/3
    ________
    2 X a14/6

    = 3a4/3
    __________

    2a7/3

    = 3a-1
    ______
    2

    = 3/2a
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  2. #2
    Member
    Joined
    Nov 2013
    From
    Australia
    Posts
    192
    Thanks
    40

    Re: Indices and Logarithms

    Hi Ruzaika,
    Yes, I believe your answer is correct. You did make slightly harder work of the powers than necessary but it didn't matter.
    I would have simplified the powers of halves and thirds separately all the way through, but it didn't make much difference.
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