№17. \(\dfrac{14^4}{25\cdot7^3}\)

\(14^4=(2\cdot7)^4=2^4\cdot7^4\).

\(\dfrac{2^4\cdot7^4}{5^2\cdot7^3}=\dfrac{2^4\cdot7}{5^2}=\dfrac{112}{25}\).

Ответ: \(\dfrac{112}{25}\).