https://file.aiquickdraw.com/mathbot/file/1730487511878k4okqzz8.jpg

To solve this expression, we will go through it step by step.

The expression is:
\[
\left( \frac{46 - 2}{16 + 6} \right)^2
\]

### Step 1: Simplify the Numerator
Calculate \(46 - 2\):
\[
46 - 2 = 44
\]

### Step 2: Simplify the Denominator
Calculate \(16 + 6\):
\[
16 + 6 = 22
\]

### Step 3: Substitute and Simplify the Fraction
Now the expression is:
\[
\left( \frac{44}{22} \right)^2
\]

Divide \(44\) by \(22\):
\[
\frac{44}{22} = 2
\]

### Step 4: Square the Result
Now square \(2\):
\[
2^2 = 4
\]

### Final Answer
The answer is:
\[
4
\]

Would you like further details on any of these steps?

1. How to handle complex fractions in similar problems?
2. Why do we simplify inside parentheses first?
3. How would this change if it was \((46 + 2) / (16 - 6)^2\)?
4. What if the question involved cube instead of square?
5. How does squaring affect positive vs negative results?

**Tip:** Always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) to avoid errors.

Learn how to evaluate the expression ((46 - 2) / (16 + 6))^2 with a clear, step-by-step solution. This problem emphasizes arithmetic operations, exponentiation, and the order of operations (PEMDAS), suitable for students in Grades 6-8.

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