# 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 $$a^{5}$$+$$b^{5}$$+$$c^{5}$$+$$d^{5}$$.