Maximum Holds When a=b=c=da=b=c=d, Right?

Algebra Level 3

Let a,b,ca,b,c and dd be real numbers satisfying a4+b4+c4+d4=16  .a^4+b^4+c^4+d^4=16\; . Find the maximum value of a5+b5+c5+d5  .a^5+b^5+c^5+d^5 \; .

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