https://file.aiquickdraw.com/mathbot/file/17275780645557a6mkhdm.jpg

Let's evaluate the given expression step-by-step. The expression is:

\[
-3 \cdot (-4) - \left( \left( -1 \right)^2 - 2 \right)^3
\]

1. **Calculate \((-1)^2\):**
   \[
   (-1)^2 = 1
   \]

2. **Subtract 2 from \((-1)^2\):**
   \[
   1 - 2 = -1
   \]

3. **Cube \(-1\):**
   \[
   (-1)^3 = -1
   \]

4. **Calculate \(-3 \cdot (-4)\):**
   \[
   -3 \cdot (-4) = 12
   \]

5. **Final calculation:**
   \[
   12 - (-1) = 12 + 1 = 13
   \]

So, the evaluated result is:

\[
13
\]

Do you want more details or have any questions? 

Here are some related questions:

1. How do you simplify expressions with exponents?
2. What is the order of operations (PEMDAS) and how is it applied?
3. How do you deal with negative signs in multiplication and exponentiation?
4. What is the difference between squaring and cubing a number?
5. How do you handle nested parentheses in complex expressions?

**Tip:** Always evaluate the innermost parentheses first when dealing with nested expressions.

Learn how to evaluate the expression -3 * (-4) - ((-1)^2 - 2)^3 with a detailed step-by-step solution. This problem covers key algebraic concepts like exponents, order of operations, and basic multiplication. Suitable for students in Grades 7-9.

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