Find the maximum value...

Algebra Level 3

Let a,b,c and d be non-negative real numbers such that \(a^{4}\)+\(b^{4}\)+\(c^{4}\)+\(d^{4}\)=16. Then find the maximum possible value of \(a^{5}\)+\(b^{5}\)+\(c^{5}\)+\(d^{5}\).