(222³)¹¹¹ = (2.111)³ = 8.111³ = 8.111.111² =888.111²

(333²)¹¹¹ = (3.111)² = 9.111² 

Vì 888.111² > 9.111²

Vậy 222³³³ > 333²²²

- Ủng hộ -

~minhanh~

222^333=(222^3)^111=10941048^111>110889^111=(333^2)^111=333^222.

tk mk nha.

chúc các bạn tk mk học giỏi nha

222^333=(222^3)^111=(2x111)^3=8x111^3=888x111^2
333^222=(333^2)^111=(3x111)^2=9x111^2
ta thấy 888x111^2>9x111^2
=> 222^333>333^222

222³³³ = 222^3.111 = ( 222³ )¹¹¹ = 10941048¹¹¹

333²²² = 333^2.111 = ( 333² )¹¹¹ = 110889¹¹¹

mà 10941048¹¹¹ > 110889¹¹¹ => 222³³³ > 333²²²

Ta có : \(222^{333}=222^{3.111}=\left(222^3\right)^{111}\)

           \(333^{222}=333^{2.111}=\left(333^2\right)^{111}\)

Ta so sánh : \(222^3\) và \(333^2\)

\(222^3=\left(2.111\right)^3=2^3.111^3=8.111^3=888.111^2\)

\(333^2=\left(3.111\right)^2=3^2.111^2=9.111^2\)

Vì   \(888>9\) \(\Rightarrow\) \(888.111^2>9.111^2\)  

\(\Rightarrow\) \(222^3< 333^2\)    \(\Rightarrow\)  \(222^{333}< 333^{222}\)

ta có: 2³³³ = (2³)¹¹¹ = 8¹¹¹

3²²² =(3²)¹¹¹ = 9¹¹¹

=> ....

TC \(2^{333}=\)\(2^{3.111}\)\(\left(2^3\right)^{111}=8^{111}\)

LC \(3^{222}=3^{2.111}=\left(3^2\right)^{111}=9^{111}\)

MÀ 8<9

\(\Rightarrow8^{111}< 9^{111}\)

\(hay\)\(2^{333}< 3^{222}\)

Ta có: 2³³³=2⁽³⁾¹¹¹=8¹¹¹

             3²²²=3⁽²⁾¹¹¹=9¹¹¹

^=>8¹¹¹<9¹¹¹  hay  2³³³<3²²²

         Chúc bạn học tốt.

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 :\(222^{333}>333^{222}\)

222^333>333^222

k nha

222³³³=(222³)¹¹¹=10941048¹¹¹

333²²²=(333²)¹¹¹=110889¹¹¹

Vì: 10941048¹¹¹>110889¹¹¹

Nên; 222³³³>333²²²

= nhé bạn

thử giút gọn 2^3 và 3^2= 12 và 9 => 12>9 nên => 222^333>333^222

222³³³ = (222³)¹¹¹ = 10941048¹¹¹

333²²² = (333²)¹¹¹ = 110889¹¹¹

Vì 10941048 > 110889 hay 10941048¹¹¹ > 110889¹¹¹

nên 222³³³ > 333²²²

Làm đầy đủ nè :

(222³)¹¹¹ = (2 x 111)³ = 8 x 111³ = 8 x 111 x 111² = 888 x 111²

(333²)¹¹¹ = (3 x 111)² = 9 x 111²

Vì 888 x 111² > 9 x 111².

Vậy 222³³³ > 333²²²

222^333= (2^3)^111= 8^111 , 333^222=(3^2)^111= 9^111

Các bn giải kỹ giùm mk vs

Ta có:

\(222^{333}=2^3.2^{111}=8.2^{111}\)

\(333^{222}=3^2.3^{111}=9.3^{111}\)

Từ\(\hept{\begin{cases}8< 9\\2^{111}< 3^{111}\end{cases}\Rightarrow}8.2^{111}< 9.3^{111}\Rightarrow222^{333}< 333^{222}\)