[tex](\frac{3^{25}:3^{13}}{3^4\cdot3^5})^3:(3^3)^2=(\frac{3^{25-13}}{3^{4+5}})^3:3^{3\cdot2}=\\\\=(\frac{3^{12}}{3^9})^3:3^6=(3^{12-9})^3:3^6=\\\\=(3^3)^3:3^6=3^{3\cdot3}:3^6=3^{9}:3^6=3^3=\boxed{27}[/tex]
