https://file.aiquickdraw.com/mathbot/file/1726418263215f77lz7z3.jpg

The expression to simplify is:

\[
-5^2 - 8
\]

### Step-by-Step Solution:

1. **Evaluate \(5^2\):**
   \[
   5^2 = 25
   \]

2. **Apply the negative sign:**
   The negative sign is applied to the result of the exponentiation:
   \[
   -5^2 = -(25) = -25
   \]

3. **Subtract 8 from -25:**
   \[
   -25 - 8 = -33
   \]

So, the simplified result is:
\[
-5^2 - 8 = -33
\]

Let me know if you'd like more details or have any questions!

Here are five related questions to extend your understanding:
1. How do you differentiate between \((-5)^2\) and \(-5^2\)?
2. What happens when you add instead of subtract in similar expressions?
3. Can you simplify \(-6^2 - 10\) using the same method?
4. How does the order of operations (PEMDAS) affect calculations involving exponents?
5. How would the calculation change if the exponent were a negative number?

**Tip:** Always evaluate exponents before applying any negative signs!

Learn how to simplify the expression -5^2 - 8. This step-by-step guide evaluates exponents first, then applies the negative sign and subtracts. Suitable for students in Grades 6-8.

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