Find the maximum value...

Algebra Level 3

Let a,b,c and d be non-negative real numbers such that a4a^{4}+b4b^{4}+c4c^{4}+d4d^{4}=16. Then find the maximum possible value of a5a^{5}+b5b^{5}+c5c^{5}+d5d^{5}.

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Anik Mandal by Anik Mandal
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