a) \(2^{2017}+2^{2014}=2^{2014}\left(2^3+1\right)=2^{2014}.9⋮9\)
b) \(4^{2016}+4^{2014}=4^{2014}\left(4^2+1\right)=4^{2014}.17\)
2) \(3.4^{n+2}+4^n=49\\ \Rightarrow4^n\left(3.4^2+1\right)=49\\ \Rightarrow4^n.33=49\\ \Rightarrow4^n=16\\ \Rightarrow n=2\)
3) \(200-180:\left[36.5-7.25\right]\\ =200-180:\left[180-175\right]\\ =200-180:5\\ =200-36\\ =164\)