Question

So sanh cac luy thua sau:

a,333⁷⁷⁷ va 777³³³

b,2²²² va 22²²

Neu trinh bay duoc,hay trinh bay ho minh nhe ban

Answer 1

333^⁷⁷⁷ > 777^333

b, 2^222> 22^22

Answer 2

a) Ta có: 333⁷⁷⁷ = 333^111.7 = (777³)¹¹¹

777³³³ = 777^111.3  = (777³)¹¹¹

Vì 777³<333⁷ nên (777³)¹¹¹ < (777³)¹¹¹

Vậy 333^{777 >} 777³³³

b) Ta có: 2²²² = 2^2.111 =(2¹¹¹)²

22²² = 22^11.2 = (22¹¹)² 

Vì 2¹¹¹ > 22¹¹ nên (2¹¹¹)² > (22¹¹)² 

Answer 3

a) 333⁷⁷⁷ > 777³³³

b) 2²²² > 22²²

Answer 4

333⁷⁷⁷=(333⁷)¹¹¹

777³³³=(777³)¹¹¹

777³>333⁷

=>333⁷⁷⁷<777³³³