\(\frac{3^6.45^5-15^{13}.5^{-9}}{27^4.25^3+45^6}=\frac{3^6.\left(3^2.5\right)^5-\left(3.5\right)^{13}.5^{-9}}{\left(3^3\right)^4.\left(5^2\right)^3+\left(3^2.5\right)^6}=\frac{3^{16}.5^5-3^{13}.5^4}{3^{12}.5^6+3^{12}.5^6}\)
\(\frac{3^{13}.5^4\left(3^3.5-1\right)}{2.3^{12}.5^6}=\frac{3.44}{2.5^2}=\frac{3.22}{5^2}=\frac{66}{25}\)