Question

So sánh ạ

Answer 1

5: 2^103-2^102=2^102(2-1)=2^102

4*3^100+5*3^100=3^100*9=3^102

=> 2^103-2^102<4*3^100+5*3^100

6: 75*5^2003=5^2005*3=15*5^2004

2*125^668+20*5^2003

=2*5^2004+5^2004*4

=6*5^2004

=>75*5^2003>2*125^668+20*5^2003

7: A=1+2+2^2+...+2^2005

=>2A=2+2^2+...+2^2006

=>A=2^2006-1<2^2006+2^2004