444^555 = (111.4)^(111.5) = (111^5.4^5)^111 = (111^5.1024)^111

555^444 = (111.5)^(111.4) = (111^4.5^4)^111 = (111^4.625)^111

Vì 111^5.1024 > 111^4.625 nên (111^5.1024).111 > (111^4.625).111 hay nói cách khác 444^555 > 555^444