The problem asks you to evaluate the following expression:

$6 \times \left(5 - 2^2\right) \times \left(3 - 7 \times 1\right)^2$

Let's break down the expression step by step.

Step 1: Evaluate the exponent

• $2^2 = 4$

Step 2: Simplify the first bracket

• $5 - 4 = 1$

Step 3: Simplify the second bracket

• $3 - 7 \times 1 = 3 - 7 = -4$

Step 4: Square the result from the second bracket

• $(-4)^2 = 16$

Step 5: Multiply all the terms together

• $6 \times 1 \times 16 = 96$

The final answer is 96.

Would you like more details or have any questions?

Here are some related questions you might find useful:

1. How do you handle negative exponents in similar problems?
2. What is the order of operations and why is it important?
3. How would the result change if the expression had different exponents?
4. How can you use factoring to simplify expressions before evaluating?
5. What happens when you change the numbers in the original expression slightly?

Tip: Always perform operations inside the parentheses first, and remember to follow the order of operations (PEMDAS/BODMAS).