Step 1 :First, simplify the numerator and the denominator separately. The numerator is \(5 imes 10^{-2} = 0.05\) and the denominator is \(25 imes 10^{3} = 25000\).
Step 2 :Next, divide the simplified numerator by the simplified denominator to get the result. \(\frac{0.05}{25000} = 2 imes 10^{-6}\).
Step 3 :Final Answer: \(\boxed{2 imes 10^{-6}}\)