Question

[Nguyen Phuong Thao]

hãy so sánh :

333⁴⁴⁴và 444³³³

Answer 1

[Thái Viết Nam]

\(333^{444}=\left(333\times4\right)^{111}=1332^{111}\)

\(444^{333}=\left(444\times3\right)^{111}=1332^{111}\)

\(1332^{111}=1332^{111}\Rightarrow333^{444}=444^{333}\)

Answer 2

[Sherlockichi Kazukosho]

\(333^{444}=\left(333^4\right)^{111}\)

\(444^{333}=\left(444^3\right)^{111}\)

\(\Rightarrow333^4=111^4.3^4=111^3.111.3^4\)

     \(444^3=111^3.4^3\)

\(\Rightarrow111.3^4=111.81>4^3=64\)

\(\Rightarrow333^{444}>444^{333}\)