Question

[Toán Hình THCS]

Tính M=8^20+4^20/4^25+64^5

Answer 1

[Aug.21]

\(M=\frac{8^{20}+4^{20}}{4^{25}+64^5}\)

      \(=\frac{\left(2^3\right)^{20}+\left(2^2\right)^{20}}{\left(2^2\right)^{25}+\left(2^6\right)^5}\)

       \(=\frac{2^{60}+2^{40}}{2^{50}+2^{30}}\)

       \(=\frac{2^{40}\left(2^{20}+1\right)}{2^{30}\left(2^{20}+1\right)}\)

        \(=2^{10}=1024\)

Answer 2

[T.Ps]

#)Giải :

\(M=\frac{\left(2^3\right)^{20}+\left(2^2\right)^{20}}{\left(2^2\right)^{25}+\left(2^6\right)^5}=\frac{2^{40}.2^{20}+2^{40}.1}{2^{30}.2^{20}+2^{30}.1}=\frac{2^{40}\left(2^{20}+1\right)}{2^{30}\left(2^{20}+1\right)}=\frac{2^{40}}{2^{30}}=2^{10}=1024\)