Let's solve the expression step-by-step:

1. Simplify the exponent:
\[ -4^2 = -16 \]

So, the expression now looks like:
\[ -3 - (-16) \times 6 / 3 - (-1) \]

2. Simplify the multiplication and division within the parentheses:
\[ -16 \times 6 = -96 \]
\[ -96 / 3 = -32 \]

So, the expression now looks like:
\[ -3 - (-32) - (-1) \]

3. Simplify the double negatives:
\[ -3 + 32 + 1 \]

4. Perform the addition and subtraction:
\[ -3 + 32 = 29 \]
\[ 29 + 1 = 30 \]

So, the value of the expression is:
\[ 30 \]

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:
1. How do you handle exponents with negative bases?
2. What is the order of operations (PEMDAS/BODMAS)?
3. How do you simplify expressions with multiple operations?
4. How do you handle negative numbers in arithmetic operations?
5. How do parentheses affect the order of operations?

**Tip:** Always perform operations inside parentheses first and be mindful of the order of operations (PEMDAS/BODMAS) to avoid mistakes.

Learn how to solve the mathematical expression (-3 - (-4²) × 6 / 3) - (-1) with a step-by-step breakdown. This solution covers key concepts such as exponents, order of operations (PEMDAS), and working with negative numbers. Perfect for students in Grades 7-9.

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