To solve $5^{-2}$:

1. The negative exponent means we take the reciprocal of the base and then raise it to the positive version of the exponent: $5^{-2} = \frac{1}{5^2}$

2. Now, calculate $5^2$: $5^2 = 25$

3. Therefore: $5^{-2} = \frac{1}{25}$

So, $5^{-2} = \frac{1}{25}$.

Would you like more details or have any questions?

Here are 5 related questions:

1. What is $2^{-3}$?
2. How do you simplify $10^{-4}$?
3. What is $7^{-1}$?
4. What is the value of $\left(\frac{2}{3}\right)^{-2}$?
5. How do you calculate $8^{-3}$?

Tip: Negative exponents indicate the reciprocal of the base raised to the positive exponent.