Question

So sánh:

222³³³ và 333²²²

(nhớ trình bày rõ nhé). 

Answer 1

(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~

Answer 2

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

Answer 3

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

Answer 4

222³³³=(222³)¹¹¹=(111³.2³)¹¹¹

333²²²=(333²)¹¹¹=(111².3²)¹¹¹

vì 111³:111²=111 và 3²:2³=9/8 mà 111>9/8=>(111³.2³)¹¹¹>(111².3²) nên 222³³³>333²²²

vậy222³³³>333²²²

Answer 5

(222³)¹¹¹ và (333²)¹¹¹.

(2 x 111)³ và (3 x 111)².

8 x 111³ và 9 x 111².

888 x 111² và 9 x 111².

Kết luận : 222^333 > 333^222.

Answer 6

(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 

Answer 7

(2223 ) 111 = (2.111)3 = 8.1113 = 8.111.1112 =888.1112ttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt (3332 ) 111  = (3.111)2  = 9.1112 Vì 888.1112  > 9.1112 Vậy 222333  > 333222 

hok tôttttttttttttttttttttttttttttt

Answer 8

\(222^{333}=\left(222^3\right)^{111}=\left(2\cdot111\right)^3=888\cdot111^2\)

\(333^{222}=\left(333^2\right)^{111}=\left(3\cdot111\right)^2=9\cdot111^2\)

Vì \(888\cdot111^2>9\cdot111^2\)

\(\Rightarrow222^{333}>333^{222}\)