Question

So sánh : 

333⁴⁴⁴ và 444³³³

Answer 1

\(333^{444}\)và  \(444^{333}\)

Ta có : 

\(333^{444}=\left(3.111\right)^{444}=3^{444}.111^{444}=\left(3^4\right)^{111}.111^{444}=81^{111}.111^{444}\)

\(444^{333}=\left(4.111\right)^{333}=4^{333}.111^{333}=\left(4^3\right)^{111}.111^{333}=64^{111}.111^{333}\)

Vì \(81^{111}>64^{111}\)nên \(333^{444}>444^{333}\)