https://file.aiquickdraw.com/mathbot/file/17282686219403dehf6pg.jpg

The problem in the image involves using the correct order of operations (PEMDAS/BODMAS) to solve an expression. Let's break it down:

### Given expression:
\[ 5 + (3 \times 2)^2 \div 6 \]

### Applying the order of operations (PEMDAS):
- **P**arentheses first:
  \[ (3 \times 2) = 6 \]
  Now the expression becomes:
  \[ 5 + 6^2 \div 6 \]

- **E**xponents next:
  \[ 6^2 = 36 \]
  So the expression simplifies to:
  \[ 5 + 36 \div 6 \]

- **D**ivision comes next:
  \[ 36 \div 6 = 6 \]
  The expression now is:
  \[ 5 + 6 \]

- **A**ddition finally:
  \[ 5 + 6 = 11 \]

### Final answer:
The value of the expression is **11**, but it seems the handwritten work shows **7** as the final result, which might be due to an error in applying the order of operations.

Do you need further clarification on this? 

Here are some additional questions to explore:
1. What would happen if we changed the exponent to a different number?
2. Can you show how division by a decimal number would affect the result?
3. What if the parentheses contained a subtraction instead of multiplication?
4. How does the order of operations change if there are nested parentheses?
5. What other strategies can help avoid mistakes with order of operations?

**Tip:** Always handle exponents and parentheses first, as missing these steps can lead to incorrect results.

Solve the following using the correct order of operations (PEMDAS/BODMAS): 5 + (3 × 2)^2 ÷ 6

Learn how to solve the expression 5 + (3 × 2)^2 ÷ 6 using the correct order of operations (PEMDAS). This problem includes steps for handling parentheses, exponents, division, and addition. Suitable for students in Grades 5-7.

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