[tex]\dfrac{5^{13}\cdot3+2\cdot5^{13}}{(5^{11}:25^4)\cdot25}= \dfrac{5^{13}\cdot(3+2)}{\left(5^{11}:(5^2)^4\right)\cdot5^2} = \dfrac{5^{13}\cdot5}{\left(5^{11}:5^{2\cdot4}\right)\cdot5^2} = \dfrac{5^{13+1}}{5^{11-8}\cdot5^2}= \dfrac{5^{14}}{5^{3+2}}=\\\\\\{}\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad= \dfrac{5^{14}}{5^5}=5^{14-5}=5^9=1\,953\,125[/tex]
