Question

So sánh

A=333⁴⁴⁴

B=444³³³

 

So sánh

C= 2 ^{3  3  3}

D=3 ^{2  2  2}

Answer 1

C = 2³³³ = (2³)¹¹¹ = 8¹¹¹

D = 3²²² = (3²)¹¹¹ = 9¹¹¹

Vì  8¹¹¹ < 9¹¹¹

Nên : C < D 

Answer 2

1) A=333⁴⁴⁴ và B=444³³³

Ta có 333⁴⁴⁴=(3.111)^4.111=3^4.111.111^4.111=(3⁴.111⁴)¹¹¹=(81.111⁴)¹¹¹

444³³³=(4.111)^3.111=4^3.111.111^3.111=(4³.111³)¹¹¹=(64.111³)¹¹¹

Vì (81.111⁴)¹¹¹> (64.111³)¹¹¹

Nên 333⁴⁴⁴ > 444³³³

2) C=2³³³ và D=333²²²

Ta có 2³³³=2^3.111=(2³)¹¹¹=8¹¹¹

3²²²=3^2.111=(3²)¹¹¹=9¹¹¹

Vì 8¹¹¹ <9¹¹¹

Nên 2³³³< 3²²²