a, Ta có:
1030 = (103)10 = 100010
2100 = (210)10 = 102410
Vì 1000 < 1024
=> 100010 < 102410
hay 1030 < 2100
b, Ta có:
222555 = (2225)111 = (1115.25)111
= (1115 . 32)111
Lại có:
555222 = (5552)111 = (1112 . 52)111
= (1112 . 25)111
Ta có:
1112 < 1115
=> 1112.25 < 1115 . 32
=>(1112 . 25)111 < (1112 . 25)111
hay 555222 < 222555