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The expression given in the image is:

\[
-7^2 - (-2)^3
\]

Let's break it down step by step:

### Step 1: Evaluate \( -7^2 \)
- Here, we have \( 7^2 = 49 \), but there is a negative sign in front of the square, meaning we treat this as \( -49 \).
- So, \( -7^2 = -49 \).

### Step 2: Evaluate \( (-2)^3 \)
- Cubing a negative number keeps the negative sign, so:
  \[
  (-2)^3 = (-2) \times (-2) \times (-2) = -8
  \]

### Step 3: Combine the results
Now substitute these values into the original expression:

\[
-49 - (-8)
\]

Subtracting a negative is the same as adding the positive, so:

\[
-49 + 8 = -41
\]

### Final Answer:
The result of the expression is:
\[
\boxed{-41}
\]

If you have any questions or want more details, feel free to ask!

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Here are 5 questions related to this topic:

1. What is the difference between squaring and cubing a number?
2. How do you handle negative signs outside parentheses in mathematical expressions?
3. What happens when you raise a negative number to an even power?
4. How does subtracting a negative number work?
5. How would the result change if you replaced \( -2 \) with \( 2 \)?

**Tip:** Always be careful with negative signs when working with exponents—placing the number in parentheses can significantly change the result.

Solve the expression: -7^2 - (-2)^3 and explain the solution step-by-step.

Learn how to solve the expression -7^2 - (-2)^3 by breaking down the steps of exponentiation, handling negative numbers, and applying arithmetic operations. This explanation is suitable for students in Grades 6-8.

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