Question

so sánh

\(\left(\frac{1}{222}\right)^{333};\left(\frac{1}{333}\right)^{222}\)

Answer 1

giúp mình nha 

Answer 2

-Vì (1/222)^333=(1/222)^3.111=(3/666)^111

     (1/333)^222=(1/333)^2.111=(2/666)^111

-Vì 111=111 và 3/666>2/666

=))(1/222)^333>(1/333)^222

Answer 3

Ta có:

222³³³ = 111³³³.2³³³ = 111²²².111¹¹¹.(2³)¹¹¹ = 111²²².111¹¹¹.8¹¹¹ = 111²²².888¹¹¹

333²²² = 111²²².3²²² = 111²²².(3²)¹¹¹ = 111²²².9¹¹¹

Vì 111²²².888¹¹¹ > 111²²².9¹¹¹

=> 222³³³ > 333²²²

=> \(\frac{1}{222^{333}}< \frac{1}{333^{222}}\)

hay \(\left(\frac{1}{222}\right)^{333}< \left(\frac{1}{333}\right)^{222}\)