Question

a) so sánh 33⁴⁴  và 44³²

b)cho A =2000²⁰¹⁷ -2000²⁰¹⁶ +1999  .CMR :A⋮1999

 

Answer 1

a: \(33^{44}>44^{33}>44^{32}\)

Answer 2

\(a,33^{44}=11^{44}\cdot3^{44}=11^{44}\cdot81^{11}>11^{33}\cdot64^{11}=11^{33}\cdot4^{33}=44^{33}>44^{32}\)

\(b,A=2000^{2016}\left(2000-1\right)+1999=1999\cdot2000^{2016}+1999⋮1999\)