Question

Tinh 

M=8¹⁰ + 4¹⁰ / 8⁴ + 4¹¹

Answer 1

\(M=\frac{8^{10}+4^{10}}{8^4+4^{11}}=\frac{\left(2^3\right)^{10}+\left(2^2\right)^{10}}{\left(2^3\right)^4+\left(2^2\right)^{11}}\)

\(=\frac{2^{30}+2^{20}}{2^{12}+2^{22}}=\frac{2^{20}\left(2^{10}+1\right)}{2^{12}\left(2^{10}+1\right)}\)

\(=\frac{2^{10}}{2^{12}}=\frac{1}{2^2}=\frac{1}{4}\)