https://file.aiquickdraw.com/mathbot/file/1725481351875pb48a06q.jpg

To simplify the expression given in the image, we need to carefully apply the rules of exponents and arithmetic operations.

The expression is:

\[
-5^2 - 10
\]

First, calculate the exponent:

\[
5^2 = 25
\]

Now, apply the negative sign:

\[
-25
\]

Finally, subtract 10 from \(-25\):

\[
-25 - 10 = -35
\]

So, the simplified expression is:

\[
\boxed{-35}
\]

Would you like more details or have any questions? Here are some related questions you might find useful:

1. How would the result change if the negative sign was inside the exponentiation?
2. What is the difference between \((-5)^2\) and \(-5^2\)?
3. Can you generalize this result for any negative number squared?
4. What are the rules for the order of operations (PEMDAS) when dealing with exponents and subtraction?
5. How does this simplification relate to evaluating polynomials?

**Tip:** Always handle the exponent before applying any negative sign outside of it, as the order of operations dictates that exponents are calculated before multiplication by -1.

Learn how to simplify the expression -5^2 - 10 step-by-step. This problem focuses on arithmetic operations, exponentiation, and the order of operations (PEMDAS). Suitable for students in Grades 6-8.

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