Question

So sánh 

  \(222^{333}\)và \(333^{222}\)

Answer 1

222³³³ = ( 2.111 )³³³ = 2³³³.111³³³ = ( 2³ )¹¹¹.111²²².111¹¹¹ = ( 8.111 )¹¹¹.111²²² = 888¹¹¹.111²²²

333²²² = ( 3.111 )²²² = 3²²².111²²² = ( 3² )¹¹¹.111²²² = 9¹¹¹.111²²²

Vì 888¹¹¹ > 9¹¹¹ => 888¹¹¹.111²²² > 9¹¹¹.111²²²

Hay 222³³³ > 333²²²