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.

Learn how to solve 5^{-2} and understand the concept of negative exponents. This step-by-step explanation covers the reciprocal rule for negative exponents and calculating powers of 5. Ideal for students in Grades 6-8.

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