\(M=\frac{8^{20}+4^{20}}{4^{25}+64^5}\)
\(=\frac{\left(2^3\right)^{20}+\left(2^2\right)^{20}}{\left(2^2\right)^{25}+\left(2^6\right)^5}\)
\(=\frac{2^{60}+2^{40}}{2^{50}+2^{30}}\)
\(=\frac{2^{40}\left(2^{20}+1\right)}{2^{30}\left(2^{20}+1\right)}\)
\(=\frac{2^{40}}{2^{30}}=2^{10}\)
\(\frac{8^{20}+4^{20}}{4^{25}+64^5}\)
\(=\frac{\left(2^3\right)^{20}+\left(2^2\right)^{20}}{\left(2^2\right)^{25}+\left(2^6\right)^5}\)
\(=\frac{2^{60}+2^{40}}{2^{25}+2^{30}}\)
\(=\frac{2^{40}\left(2^{20}+1\right)}{2^{25}\left(1+2^5\right)}\)
\(=\frac{2^{15}\left(2^{20}+1\right)}{1+2^5}\)
\(=\frac{2^{35}+2^{15}}{1+2^5}\)
sorry làm nhầm
Đường Quỳnh Giang làm đúng rồi
sorry bấm máy ẩu quá :(
\(M=\frac{\left(2^3\right)^{20}+\left(2^2\right)^{20}}{\left(2^2\right)^{25}+\left(2^6\right)^5}\)
\(M=\frac{2^{60}+2^{40}}{2^{50}+2^{30}}\)
\(M=\frac{2^{40}.\left(2^{20}+1\right)}{2^{30}.\left(2^{20}+1\right)}\)
\(M=\frac{2^{40}}{2^{30}}=2^{10}\)
\(M=\frac{8^{29}+4^{20}}{4^{25}+64^5}\)
\(M=\frac{\left(2^3\right)^{20}+\left(2^2\right)^{20}}{\left(2^2\right)^{25}+\left(2^6\right)^5}\)
\(M=\frac{2^{60}+2^{40}}{2^{50}+2^{30}}\)
\(M=\frac{2^{40}.2^{20}+2^{40}.1}{2^{20}.2^{30}+2^{30}.1}\)
\(M=\frac{2^{40}.\left(2^{20}+1\right)}{2^{30}.\left(2^{20}+1\right)}\)
\(M=\frac{2^{40}}{2^{30}}=2^{40}:2^{30}=2^{40-30}=2^{10}\)
\(\frac{8^{20}+4^{20}}{4^{25}+64^5}=\frac{4^{20}\cdot2^{20}+4^{20}}{4^{25}\cdot8^{10}}=\frac{4^{20}\left(2^{20}+1\right)}{2^{50}+2^{30}}=\frac{2^{40}\left(2^{20}+1\right)}{2^{30}\left(2^{20}+1\right)}=2^{10}=1024\)