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

222³³³= (2.111)³³³

          = 2³³³. 111³³³

          = 2^3.111. 111^3.111

          = (2³)¹¹¹. (111³)¹¹¹

             = 8¹¹¹. (111².111)¹¹¹

          = 8¹¹¹. (111²)¹¹¹. 111¹¹¹

          = 888¹¹¹. (111²)¹¹¹ 

333²²²=(3.111)²²²

             = 3²²². 111²²²

          = 3^2.111. 111^2.111

          = (3²)¹¹¹. (111²)¹¹¹

          = 9¹¹¹. (111²)¹¹¹ 

vì : 888¹¹¹. (111²)¹¹¹ > 9¹¹¹. (111²)¹¹¹ nên 222³³³> 333²²²

Bằng nhau

222^333<333^222

vì [(111*2)^111*3] / [(111*3)^111*2]

=> ta có: 2^3=8<3^2=9

222^333=222^3x111=666^111

333^222=333^2x111=666^111

suy ra :222^333=^333^222

222³³³ = ( 2³)¹¹¹=8¹¹¹

333²²²= ( 3²)¹¹¹ =9¹¹¹

vì 8¹¹¹ < 9¹¹¹

nên 222³³³ < 333²²²

222³³³ và 333²²²

222³³³ = (222³)¹¹¹ = 10941048¹¹¹

333²²² = (333²)¹¹¹ = 110889¹¹¹

Có 10941048¹¹¹ > 110889¹¹¹

=> 222³³³ > 333²²²

Số hai to chút nhưng bạn thông cảm nhé ^_^

Học tốt nhé ! ^^

#Lạnh

Ta có:222³³³=(2^3.111)=8¹¹¹

           333²²²=(3^2.111)=9¹¹¹

ta có :222³³³=( 222³)¹¹¹=888¹¹¹

333²²²=(333²)¹¹¹=999¹¹¹

vì 888¹¹¹<999¹¹¹ nên 222³³³<333²²²

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

2/5 x 1/X + 1/X x 2 = 0,1

1/X x ( 2/5 + 2 ) = 0,1

1/X x 12 / 5 = 0,1

1/X             = 0,1 :12/5 = 1/10 : 12/5

1/X             = 1/24

Vậy X = 24

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\(\frac{333}{222}>\frac{222}{333}\)