Question

[Nguyễn Duy Sơn]

2, Tính 

a, A = \(\frac{4^6\cdot9^5+6^9\cdot120}{6^{11}+8^4\cdot3^{12}}\)

làm  nhanh đúng = 3 like

Answer 1

[๛Ňɠũ Vị Čáէツ]

\(A=\)\(\frac{4^6.9^5+6^9.120}{6^{11}+8^4.3^{12}}\)

\(A=\frac{2^{12}.3^{10}+6^9.6.2^2.5}{6^{11}+2^{12}.3^{12}}\)

\(A=\frac{2^{12}.3^{10}+6^{10}.2^2.5}{6^{11}+2^{12}.3^{12}}\)

\(A=\frac{2^{12}.3^{10}+2^{10}.3^{10}.2^2.5}{\left(2.3\right)^{11}+2^{12}.3^{12}}\)

\(A=\frac{2^{12}.3^{10}+2^{12}.3^{10}.5}{2^{11}.3^{11}+2^{12}.3^{12}}\)

\(A=\frac{2^{12}.3^{10}.\left(1+5\right)}{2^{11}.3^{11}.\left(1+2.3\right)}\)

\(A=\frac{2^{12}.3^{10}.6}{2^{11}.3^{11}.7}\)

\(A=\frac{2^{12}.3^{10}.2.3}{2^{11}.3^{11}.7}\)

\(A=\frac{2^{13}.3^{11}}{2^{11}.3^{11}.7}\)

\(A=\frac{2^2}{7}\)\(=\frac{4}{7}\)