\(1+2+....+2^{99}=2\left(1+2+....+2^{99}\right)-1-2-....-2^{99}=2^{100}-1\)
\(\Rightarrow2^{100}-\left(1+2+....+2^{99}\right)=2^{100}-\left(2^{100}-1\right)=1\)
Đặt biểu thức đã cho là A
\(\Rightarrow A=2^{100}-\left(2^{99}+2^{98}+2^{97}+......+2^2+2+1\right)\)
Đặt \(B=2^{99}+2^{98}+2^{97}+.......+2^2+2+1\)
\(\Rightarrow2B=2^{100}+2^{99}+2^{98}+.........+2^3+2^2+2\)
\(\Rightarrow2B-B=B=2^{100}-1\)
\(\Rightarrow A=2^{100}-B=2^{100}-\left(2^{100}-1\right)=2^{100}-2^{100}+1=1\)
bai nay la so v7