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If a, b, x, y are positive natural numbe...

If a, b, x, y are positive natural numbers such that `(1)/(x) + (1)/(y) = 1` then prove that `(a^(x))/(x) + (b^(y))/(y) ge ab`.

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The correct Answer is:
` :. (1) "becoms "(ya^(x)+xa^(y))/(xy) ge ab or (a^(x))/x + (a^(y))/y ge ab`
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