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Math Help - radical to exponential form

  1. #1
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    radical to exponential form

    is this true?:
    the 4th root of 81^3
    =8^3/4
    ?
    please show steps
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  2. #2
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    Quote Originally Posted by dymand68 View Post
    is this true?:
    the 4th root of 81^3
    =8^3/4
    ?
    please show steps
    I assume you meant 81^3/4 ....

    Use the usual well known rules:

    \sqrt[4]{a} = a^{1/4}

    (a^m)^n = a^{mn}
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  3. #3
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    the back of the book shows the conversion as:
    8^3/4
    (from the 4th root of 81^3)
    an error in the text presumably
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