Question

[Lê Thị Thanh Quỳnh]

Rút gọn các biểu thức sau :\(\frac{4^{10}+8^4}{4^5+8^6}\)

                                      \(\frac{1+3^4+3^8+3^{12}}{1+3+3^4+3^6+3^8+3^{10}+3^{12}+3^{14}}\)

Answer 1

[Anh Huỳnh]

\(\frac{4^{10}+8^4}{4^5+8^6}=\frac{\left(2^2\right)^{10}+\left(2^3\right)^4}{\left(2^2\right)^5+\left(2^3\right)^6}=\frac{2^{2.10}+2^{3.4}}{2^{2.5}+2^{3.6}}=\)

\(=\frac{2^{20}+2^{12}}{2^{10}+2^{18}}\)

Answer 2

[Anna]

\(\frac{4^{10}+8^4}{4^5+8^6}=\frac{2^{20}+2^{12}}{2^{10}+2^{18}}=\frac{2^{12}.2^8+2^{12}}{2^{10}+2^{10}.2^8}=\frac{2^{12}\left(1+2^8\right)}{2^{10}\left(1+2^8\right)}=\frac{2^{12}}{2^{10}}=2^2=4\)