Question

If a and b are positive integers and 22a(22b)=16, what is the value of a+b?

Answer 1

Given that:
22a(22b)=16
484ab=16
thus
ab=16/484
ab=4/121
thus given that 
ab=4/121
then
a=4 and b=1/121
hence
4+1/121
=4 1/121