222333 = (2223)111 = (23 . 1113)111 = (8 . 111 . 1112)111 = (888 . 1112)111
333222 = (3332)111 = (32 . 1112)111 = (9 . 1112)111
=> 222333 > 333222
222333=(2223)111
333222=(3332)111
Mà 2223=10941048
3332=110889
=>2223>3332
=>222333>333222
\(\left(222^3\right)^{111}\)và \(\left(333^2\right)^{111}\)
\(\left(2x111\right)^3\) và \(\left(3x111\right)^2\)
\(8x111^3\)và \(9x111^2\)
\(888x111^2\) và \(9x111^2\)
Kết luận :\(222^{333}>333^{222}\)
222333=(2223)111=10941048111
333222=(3332)111=110889111
Vi 10941048>110889=>222333>333222
\(222^{333}=\left(222^3\right)^{111}\)
\(333^{222}=\left(333^2\right)^{111}\)
So sánh : \(222^3\)và \(333^2\)
\(222^3=2^3\cdot111^3=8\cdot111^3=888\cdot111^2\)
\(333^{^2}=9\cdot111^2\)
\(888\cdot111^2>9\cdot111^2\Rightarrow333^2=3^2\cdot111^2\)
