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The text extraction did not yield a proper result, but from visually analyzing the image, the mathematical expression seems to be:

\[
-4 \cdot (-2)^2 - 2^3
\]

Let's solve this step by step:

### Step 1: Compute the powers
- \((-2)^2 = (-2) \times (-2) = 4\)
- \(2^3 = 2 \times 2 \times 2 = 8\)

### Step 2: Multiply the results
- \(-4 \cdot 4 = -16\)

### Step 3: Final subtraction
Now subtract \(8\) from \(-16\):
\[
-16 - 8 = -24
\]

### Final Answer:
\[
-24
\]

Would you like more details or have any questions?

Here are some related questions:
1. How do you handle exponents with negative bases?
2. Why does \((-2)^2\) result in a positive number?
3. What happens if we change the exponent in \((-2)^3\)?
4. What is the difference between \((-2)^2\) and \(-2^2\)?
5. How do you handle order of operations in similar expressions?

**Tip:** Always compute powers before performing any multiplication or subtraction to avoid errors in the order of operations.

Learn how to solve the mathematical expression -4 · (-2)^2 - 2^3 by following the correct order of operations. This step-by-step solution involves exponents, multiplication, and subtraction, suitable for students in Grades 6-8.

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