Question

[ShinNosuke]

rút gọn :

\(\frac{8^{10}+4^{10}}{8^4+4^{10}}\)

Answer 1

[Lê Tài Bảo Châu]

\(\frac{8^{10}+4^{10}}{8^4+4^{10}}\)

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

\(=\frac{2^{30}+2^{20}}{2^{12}+2^{20}}\)

\(=\frac{2^{20}.\left(2^{10}+1\right)}{2^{12}.\left(1+2^8\right)}\)

\(=\frac{2^8.\left(2^{10}+1\right)}{1+2^8}\)

\(=\frac{262400}{257}\)

Answer 2

[Mai Trung Nguyên]

\(\frac{8^{10}+4^{10}}{8^4+4^{10}}=\frac{2^{30}+2^{20}}{2^{12}+2^{20}}=\frac{2^{12}.\left(2^{18}+2^{10}\right)}{2^{12}.\left(1+2^{10}\right)}\frac{2^{18}+2^{10}}{2^{10}+1}\)