https://file.aiquickdraw.com/mathbot/file/1730330367269tkcyvkf7.jpg

The expression in the image is:

\[
3^2 \div 3 + 2^2 \times 7 - 20 \div 5
\]

Let’s solve it step-by-step by following the order of operations (PEMDAS/BODMAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

### Step 1: Evaluate Exponents
1. \( 3^2 = 9 \)
2. \( 2^2 = 4 \)

The expression now becomes:
\[
9 \div 3 + 4 \times 7 - 20 \div 5
\]

### Step 2: Perform Division and Multiplication (left to right)
1. \( 9 \div 3 = 3 \)
2. \( 4 \times 7 = 28 \)
3. \( 20 \div 5 = 4 \)

After performing these operations, the expression simplifies to:
\[
3 + 28 - 4
\]

### Step 3: Perform Addition and Subtraction (left to right)
1. \( 3 + 28 = 31 \)
2. \( 31 - 4 = 27 \)

### Final Answer
\[
27
\]

Would you like more details or have any questions?

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Here are some related questions for further practice:
1. What would the result be if you changed \(2^2\) to \(3^2\)?
2. How does the result change if you switch the order of operations?
3. What if \(20 \div 5\) were \(20 \times 5\) instead?
4. How does the expression change if you add parentheses around \(3 + 2^2\)?
5. What happens if you replace \(3^2 \div 3\) with \(3^2 \times 3\)?

**Tip:** Always handle exponents and roots before multiplication and division in an expression.

Follow the order of operations to solve the expression 3^2 ÷ 3 + 2^2 x 7 - 20 ÷ 5 step-by-step, covering key concepts like exponents, division, and multiplication. Suitable for students in Grades 5-7.

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