The problem shown in the image is:

$7 \cdot \left[ 52 - (8 - 3)^2 \right]$

Step-by-Step Solution:

1. Simplify the parenthesis: $8 - 3 = 5$

2. Square the result: $5^2 = 25$

3. Substitute into the expression: $7 \cdot \left[ 52 - 25 \right]$

4. Simplify inside the brackets: $52 - 25 = 27$

5. Multiply by 7: $7 \cdot 27 = 189$

Final Answer:

$189$

Let me know if you'd like further explanation!

Relative Questions:

1. What are the steps to simplify expressions with parentheses and exponents?
2. How does the order of operations (PEMDAS) affect solving this problem?
3. Why do you perform squaring before subtraction?
4. Can you think of a similar problem involving division instead of subtraction?
5. What are some tips for avoiding errors in problems like these?

Tip: Always work step by step, following the order of operations, to avoid mistakes!