https://file.aiquickdraw.com/mathbot/file/1727889999978agg8vs1e.jpg

The expression to evaluate from the image is:

\[
-4 \cdot 3 + \left( (-2)^3 - 2 \right)^2
\]

### Step-by-step solution:

1. **Simplify the exponent**: 
   \[
   (-2)^3 = (-2) \times (-2) \times (-2) = -8
   \]

2. **Subtract 2 from the result**:
   \[
   -8 - 2 = -10
   \]

3. **Square the result**:
   \[
   (-10)^2 = 100
   \]

4. **Multiply -4 and 3**:
   \[
   -4 \cdot 3 = -12
   \]

5. **Add the results**:
   \[
   -12 + 100 = 88
   \]

### Final Answer:
\[
88
\]

Would you like more details on any specific step?

### Related Questions:
1. How would the answer change if the base inside the cube was positive instead of negative?
2. How would the expression change if the exponent in \((-2)^3\) was squared instead of cubed?
3. What happens if you change the order of operations between addition and multiplication in similar expressions?
4. How would a negative exponent in \((-2)^n\) affect the final outcome?
5. What is the impact of introducing fractional exponents to similar expressions?

**Tip**: Always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) to avoid mistakes in complex calculations.

Learn how to evaluate the expression -4 × 3 + ((-2)^3 - 2)^2 step by step. The problem involves exponentiation and following the correct order of operations (PEMDAS). Suitable for students in Grades 7-9.

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