https://file.aiquickdraw.com/mathbot/file/1725909659178dntvcvhl.jpg

The mathematical expression in the image is:

\[
4^2 - | -9 | + 7
\]

To solve this using the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction), follow these steps:

1. **Exponents:** 
   \[
   4^2 = 16
   \]

2. **Absolute Value:**
   \[
   | -9 | = 9
   \]

3. **Substitution into the expression:**
   \[
   16 - 9 + 7
   \]

4. **Addition and Subtraction (from left to right):**
   \[
   16 - 9 = 7
   \]
   \[
   7 + 7 = 14
   \]

So, the result of the expression is:

\[
\boxed{14}
\]

Would you like more details or have any questions?

Here are some related questions:
1. What is the order of operations and why is it important?
2. How do absolute values affect mathematical expressions?
3. Can negative numbers be raised to powers in different ways?
4. How does subtraction differ from addition in order of operations?
5. What would happen if we changed the exponent in this problem?

**Tip:** Always remember to handle absolute values first before proceeding with addition or subtraction in complex expressions.

Learn how to solve the expression 4^2 - | -9 | + 7 step-by-step, applying the order of operations (PEMDAS), exponents, and absolute value rules. This problem is suitable for students in Grades 6-8.

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