Step 1 :The expression is asking for the value of 5 raised to the power of -2. In mathematics, a negative exponent indicates that we should take the reciprocal of the base. So, \(5^{-2}\) is equivalent to \(1/(5^2)\).
Step 2 :Now, we just need to calculate the value of \(5^2\) and then take its reciprocal.
Step 3 :\(5^2 = 25\)
Step 4 :So, \(1/(5^2) = 1/25\)
Step 5 :Final Answer: The value of the expression \(5^{-2}\) is \(\boxed{0.04}\)