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= (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

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

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

222³³³=222^3.111=(222³)¹¹¹=666¹¹¹

333²²²=333^2.111=(333²)¹¹¹=666¹¹¹

vì 666¹¹¹=666¹¹¹

^=>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

Mà 888¹¹¹ . (111²)¹¹¹ > 9¹¹¹ . (111²)¹¹¹ nên 222³³³ > 333²²²

555+666+333+222+111+999+000+888+777+444=4995

hok tot

555+666+333+222+111+999+000+888+777+444=4995

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

<

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

222³³³= (222³)¹¹¹

333²²²= (333²)¹¹¹

Xét 222³ và 333².

222³= (2.111)³= 2³.111³= 8.111³= 8.111.111²= 888.111²

333²= (3.111)²= 3².111²= 9.111²

Vì 888.111²>9.111² nên 222³³³>333²²².

, ta có : 222³³³ = (222³)¹¹¹ = 10 941 048¹¹¹ 
               333²²² = (333²)¹¹¹ = 110 889¹¹¹
mà : 10 941 048 > 110 889
 => 10 941 048¹¹¹ > 110 889¹¹¹
=> 222³³³ > 333²²²

K cho mình nhé 

`=111 xx (1+2+3+...+9) + (1001+1003+1005)`

`=111 xx 45 + 3009`

`=4995 +3009`

`=8004`

Bấm vào dòng chữ xanh

Câu hỏi của LE YEN NHI - Toán lớp 6 - Học toán với OnlineMath

Ta có:

\(222^{333}=222^{3.111}=\left(222^3\right)^{111}=10941048^{111}\)

\(333^{222}=333^{2.111}=\left(333^2\right)^{111}=110889^{111}\)

Vì \(10941048^{111}>110889^{111}\Rightarrow222^{333}>333^{222}\)