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Math Help - Simplifying Algebraic Expressions

  1. #1
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    Simplifying Algebraic Expressions

    Hey All,


    Problem: a^{3(7-x)}a^x

    I'm not sure what to do with the a^{3(7-x)}.

    It looks like I could use the distributive law which would make a^{21-3x} but I'm not sure if that applies to exponents.

    I appreciate any comments or advice!

    Thanks,
    Last edited by Substince; February 24th 2011 at 09:33 PM.
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  2. #2
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    \displaystyle a^{3(7-x)}a^x = a^{3(7-x) + x}.

    Now expand and collect like terms in the power...
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  3. #3
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    Wow I can't believe its that simple and how I missed that Thanks!

    so just to verify if you could a^{3(7-x)}a^x = a^{3(7-x)+x}  =  a^{(21-3x)+x}  =  a^{21-2x}
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  4. #4
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    Yes, that is correct.
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