https://file.aiquickdraw.com/mathbot/file/1734045280788ydo74m3z.jpg

The mathematical expression in the image is:

\[
18 \div (5 + 4) \cdot 5^2 - 7^2
\]

### Step-by-step solution:

1. **Parentheses**:
   \[
   5 + 4 = 9
   \]

   Now the expression becomes:
   \[
   18 \div 9 \cdot 5^2 - 7^2
   \]

2. **Exponents**:
   \[
   5^2 = 25 \quad \text{and} \quad 7^2 = 49
   \]

   Substituting these values:
   \[
   18 \div 9 \cdot 25 - 49
   \]

3. **Division and Multiplication (left to right)**:
   - First, divide:
     \[
     18 \div 9 = 2
     \]
   - Then multiply:
     \[
     2 \cdot 25 = 50
     \]

   Now the expression is:
   \[
   50 - 49
   \]

4. **Subtraction**:
   \[
   50 - 49 = 1
   \]

### Final Answer:
\[
\boxed{1}
\]

Would you like further clarification or additional examples? 

---

### 5 Related Questions:
1. What are the rules of the order of operations (PEMDAS/BODMAS)?
2. How do exponents affect the order of operations in a complex expression?
3. How does dividing by a sum inside parentheses differ from dividing each term individually?
4. What happens if parentheses are missing in an expression like this?
5. Can you demonstrate a similar problem with higher exponents or more terms?

### Tip:
Always evaluate expressions inside parentheses first and handle exponents before multiplication or division.

Evaluate the expression: 18 ÷ (5 + 4) · 5² - 7²

Learn how to solve the mathematical expression 18 ÷ (5 + 4) · 5² - 7² using the order of operations (PEMDAS/BODMAS). Includes detailed explanations for exponents, division, and subtraction. Suitable for Grades 6-8 students.

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