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Math Help - minimum value

  1. #1
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    Post minimum value

    State true or false? Give reason?
    If a + b + c = 81 , the minimum value of a^10 + b^10 + c^10 is (81)^10.
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  2. #2
    Super Member wingless's Avatar
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    False. Taking a=b=c=27 makes a^{10}+b^{10}+c^{10} = 3\cdot 27^{10} which is less than 81^{10}.

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  3. #3
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    Post ignou

    It was in my ignou assignment.
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  4. #4
    Super Member wingless's Avatar
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    OK. No problem as long as disproving is enough.
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