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 September 27th, 2008, 02:17 AM #1 Newbie   Joined: Aug 2008 Posts: 14 Thanks: 0 An inequality Let a positive integer k and real positive numbers a,b,c satisfying $abc\le 1$. Prove that $\frac{a}{b^k}+\frac{b}{c^k}+\frac{c}{a^k}\ge a+b+c$

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