Question

So sánh:

A=333^444 và B=444^333

Answer 1

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

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

Vậy \(333^{444}>444^{333}\)

tích mình nha !!!

 

Answer 2

A=333^444=111^3.444=111^1332

B=444^333=111^4.333=111^1332

=>A=B

Answer 3

333^444>444^333