https://file.aiquickdraw.com/mathbot/file/1725927524366nzl7h2km.jpg

Let's go through the steps in the math problem written in the image:

The expression appears to be:

\[
(4^2 - 2^2 \times 3)^2 - 7
\]

### Step-by-Step Solution:

1. **Start with the inside of the parentheses:**
   \[
   4^2 = 16 \quad \text{and} \quad 2^2 = 4
   \]
   So the expression becomes:
   \[
   (16 - 4 \times 3)^2 - 7
   \]

2. **Perform the multiplication:**
   \[
   4 \times 3 = 12
   \]
   Now the expression is:
   \[
   (16 - 12)^2 - 7
   \]

3. **Subtract within the parentheses:**
   \[
   16 - 12 = 4
   \]
   Now the expression is:
   \[
   (4)^2 - 7
   \]

4. **Square the result:**
   \[
   4^2 = 16
   \]
   So now the expression is:
   \[
   16 - 7
   \]

5. **Finally, subtract:**
   \[
   16 - 7 = 9
   \]

Thus, the final result is **9**.

Would you like further clarification on any step?

Here are some related questions to explore further:

1. What is the order of operations, and why is it important in solving expressions?
2. How would the answer change if the numbers inside the parentheses were different?
3. What happens if we change the exponent on the outer parentheses?
4. How does squaring affect negative numbers or different variables?
5. Can you solve similar expressions with fractional or decimal numbers?

**Tip:** Always remember to follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) when solving math expressions to get the correct result.

Explore how to solve the expression (4^2 - 2^2 × 3)^2 - 7 using exponents and the order of operations. This step-by-step guide simplifies the expression for students at a Grade 6-8 level.

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