a: \(\frac{2^{10}\cdot13+2^{10}\cdot65}{2^8\cdot104}\)
\(=\frac{2^{10}\cdot13\left(1+5\right)}{2^8\cdot2^3\cdot13}=\frac{2^{10}}{2^{11}}\cdot6=\frac12\cdot6=3\)
b: \(\frac{2^{13}\cdot5\cdot4^{11}-16^9}{\left(2^{17}\right)^2\cdot3}\)
\(=\frac{2^{13}\cdot2^{22}\cdot5-2^{36}}{2^{34}\cdot3}=\frac{2^{35}\left(5-2\right)}{2^{34}\cdot3}=2\)
c: \(\left(10^3+10^4+125^2\right):5^3\)
\(=\left(5^3\cdot2^3+5^4\cdot2^4+5^6\right):5^3\)
\(=2^3+5\cdot2^4+5^3=8+5\cdot16+125\)
=133+80
=213
i: \(423134\cdot846267-423133\)
\(=\left(423133+1\right)\cdot846267-423133\)
\(=423133\cdot846267+846267-423133\)
\(=423133\cdot846267+423134\)
=>\(\frac{423134\cdot846267-423133}{423133\cdot846267+423134}=1\)
