Question

so sánh:

a,A=333⁴⁴⁴ và B=444³³³

b,C=72⁴⁵-72⁴⁴ và D=72⁴⁴-72⁴³

Answer 1

a)Ta có:A=333⁴⁴⁴=(3.111)⁴⁴⁴=3⁴⁴⁴.111⁴⁴⁴

                                   =(3⁴)¹¹¹.111⁴⁴⁴=81¹¹¹.111⁴⁴⁴

            B=444³³³=(4.111)³³³=4³³³.111³³³

                          =(4³)¹¹¹.111³³³=64¹¹¹.111³³³

Vì 81¹¹¹.111⁴⁴⁴ > 64¹¹¹.111³³³ nên A>B

Vậy A > B

b)Ta có:C=72⁴⁵-72⁴⁴=72⁴⁴.72-72⁴⁴=72⁴⁴.(72-1)

            D=72⁴⁴-72⁴³=72⁴³.72-72⁴³=72⁴³.(72-1)

Vì 72⁴⁴.(72-1) > 72⁴³.(72-1) nên C>D

Vậy C>D

Answer 2

a)

A=333⁴⁴⁴

A=(333⁴)¹¹¹

A=12296370321¹¹¹

B=444³³³

B=(444³)¹¹¹

B=87528384¹¹¹

Mà12296370321>87528384

Nên12296370321¹¹¹>87528384¹¹¹

VậyA=333⁴⁴⁴>B=444³³³