解:∵?$a = 2^{-555},$??$b = 3^{-444},$??$c = 6^{-222}$?
∴?$a = 2^{-555}=\frac 1{2^{555}}=\frac 1{(2^5)^{111}}=\frac 1{32^{111}},$?
?$b = 3^{-444}=\frac 1{3^{444}}=\frac 1{(3^4)^{111}}=\frac 1{81^{111}},$?
?$c = 6^{-222}=\frac 1{6^{222}}=\frac 1{(6^2)^{111}}=\frac 1{36^{111}},$?
∵?$32^{111}<36^{111}<81^{111},$?分子相同,分母越大,分?jǐn)?shù)越小
∴?$\frac 1{32^{111}}>\frac 1{36^{111}}>\frac 1{81^{111}}$?
∴?$a > c > b$?