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Math Help - Index Notation

  1. #1
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    Index Notation

    I think im just being stupid, but i can't get my head around a index calculation:

    (27/8)^2/3

    Im just not sure exactly how to do these types, i know 27^2/3 would be 9, but i don't see what it would be when its a fraction, this is supposed to be done without a calculator.
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Joluk View Post
    I think im just being stupid, but i can't get my head around a index calculation:

    (27/8)^2/3

    Im just not sure exactly how to do these types, i know 27^2/3 would be 9, but i don't see what it would be when its a fraction, this is supposed to be done without a calculator.
    We know that
    \left ( \frac{a}{b} \right ) ^n = \frac{a^n}{b^n}
    (with suitable conditions on a, b, and n.)

    So
    \left ( \frac{27}{8} \right )^{2/3} = \frac{27^{2/3}}{8^{2/3}} = \frac{9}{4}

    -Dan
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  3. #3
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    Ahhh, *bangs head against desk*

    Thanks
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  4. #4
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Joluk View Post
    Ahhh, *bangs head against desk*

    Thanks
    Happens to the best of us...

    -Dan
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