2. \(\dfrac{(5^5)^2\cdot(5^2)^5\cdot5}{625}\)

\((5^5)^2=5^{10}\), \((5^2)^5=5^{10}\), а \(625=5^4\). Тогда \(\dfrac{5^{10}\cdot5^{10}\cdot5}{5^4}=5^{10+10+1-4}=5^{17}\).

Ответ: \(5^{17}\).