Вычислите: (5^4*10^3)/(2^3*25^2).

\[\frac{5^{4} \cdot 10^{3}}{2^{3} \cdot 25^{2}} = \frac{5^{4} \cdot 2^{3} \cdot 5^{3}}{2^{3} \cdot \left( 5^{2} \right)^{2}} =\]

\[= \frac{5^{7}}{5^{4}} = 5^{3} = 125.\]