\(A=\frac{8^{10}+4^{10}}{8^4+4^{11}}\)
\(A=\frac{\left(2^3\right)^{10}+\left(2^2\right)^{10}}{\left(2^3\right)^4+\left(2^2\right)^{11}}\)
\(A=\frac{2^{30}+2^{20}}{2^{12}+2^{22}}\)
\(A=\frac{4^{15}+4^{10}}{4^3+4^{11}}\)
\(A=\frac{4^{10}\left(4^5+1\right)}{4^6\left(4^5+1\right)}\)
\(A=\frac{4^{10}}{4^6}=4^4=256\)
\(\frac{8^{10}+4^{10}}{8^4+4^{11}}\)
=\(\frac{\left(2^3\right)^{10}+\left(2^2\right)^{10}}{\left(2^3\right)^4+\left(2^2\right)^{11}}\)
=\(\frac{2^{30}+2^{20}}{2^{12}+2^{22}}\)
=\(\frac{2^{50}}{2^{34}}\)
=\(2^{16}\)
=\(65536\)