Rút gọn phân số:
A = \(\frac{2^{13}.9-2^{12}.5}{2^{12}.6+2^{12}.7}\)
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\(\frac{7.4^5.3^{11}+2^{13}.9^5}{6^{10}+2^{12}.3^{10}}=\frac{7.\left(2^2\right)^5.3^{11}+2^{13}.\left(3^2\right)^5}{\left(2.3\right)^{10}+2^{12}.3^{10}}=\frac{7.2^{10}.3^{11}+2^{13}.3^{10}}{2^{10}.3^{10}+2^{12}.3^{10}}\)
\(=\frac{2^{10}.3^{10}.\left(7.3+2^3\right)}{2^{10}.3^{10}.\left(1+2^2\right)}=\frac{7.3+2^3}{1+2^2}=\frac{29}{5}\)
\(A=\frac{2^{13}.9-2^{12}.5}{2^{12}.6+2^{12}.7}\)
\(=\frac{2^{12}.\left(2.9-5\right)}{2^{12}.\left(6+7\right)}\)
\(=\frac{2^{12}.\left(18-5\right)}{2^{12}.13}\)
\(=\frac{2^{12}.13}{2^{12}.13}=1\)