\(TS\)\(=\)\(2.8^4.27^2+4.6^9\)
\(=2.\left(2^3\right)^4.\left(3^3\right)^2+2^2.\left(2.3\right)^9\)
\(=2.2^{12}.3^6+2^2.2^9.3^9\)
\(=2^{13}.3^6+2^{11}.3^9\)
\(=2^{11}.3^6.\left(2^2+3^3\right)\)
\(=2^{11}.3^6.31\)
\(MS\) \(=\) \(2^7.6^7+2^7.40.9^4\)
\(=2^7.\left(2.3\right)^7+2^7.2^3.5.\left(3^2\right)^4\)
\(=2^7.2^7.3^7+2^{10}.5.3^8\)
\(=2^{10}.3^7.\left(2^4+3.5\right)\)
\(=2^{10}.3^7.31\)
Vậy \(\frac{TS}{MS}\)\(=\)\(\frac{2^{11}.3^6.31}{2^{10}.3^7.31}\)\(=\)\(\frac{2}{3}\)