Question

\(\frac{2^{12}\times3^{12}+6^9}{4^6\times3^{12}+6^{11}}\)

CẦN GẤP CÁC BẠN NHA!!!!!!!

Answer 1

        \(\frac{2^{12}.3^{12}+6^9}{4^6.3^{12}+6^{11}}\)

= \(\frac{2^{12}.3^{12}+6^9}{2^{12}.3^{12}+6^{11}}\)

= \(\frac{6^{12}+6^9}{6^{12}+6^{11}}\)

= \(\frac{6^9\left(6^3+1\right)}{6^9\left(6^3+6^2\right)}\)

= \(\frac{217}{252}\)

= \(\frac{31}{36}\)

Hk tốt

Answer 2

\(\frac{2^{12}\times3^{12}+6^9}{4^6\times3^{12}+6^{11}}=\frac{2^{12}\times3^{12}+6^9}{\left(2^2\right)^6\times3^{12}+6^{11}}\)

\(=\frac{2^{12}\times3^{12}+6^9}{2^{12}\times3^{12}+6^{11}}=\frac{6^{12}+6^9}{6^{12}+6^{11}}\)

\(=\frac{6^9\left(6^3+1\right)}{6^9\left(6^3+6^2\right)}=\frac{6^3+1}{6^3+6^2}\)

\(=1+\frac{1}{36}=\frac{37}{36}\)