Step 1 :Rewrite the expression \(7^{-2}\) as \(\frac{1}{7^{2}}\) according to the negative exponent rule.
Step 2 :Calculate the denominator \(7^{2}\) to get 49.
Step 3 :So, the simplified form of \(7^{-2}\) is \(\frac{1}{49}\).
Step 4 :\(\boxed{\frac{1}{49}}\) is the final answer.