Use the order of operations to simplify the expression.
9 squared minus 98 divided by 7 squared times 2 minus 2
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Part 1
9 squared minus 98 divided by 7 squared times 2 minus 2equals
  
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To simplify the expression using the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)), let's break it down step by step.

### Expression:
\[
9^2 - \frac{98}{7^2} \times 2 - 2
\]

### Step 1: Exponents
First, evaluate the exponents \(9^2\) and \(7^2\):
\[
9^2 = 81 \quad \text{and} \quad 7^2 = 49
\]
Now the expression becomes:
\[
81 - \frac{98}{49} \times 2 - 2
\]

### Step 2: Division
Next, perform the division:
\[
\frac{98}{49} = 2
\]
The expression simplifies to:
\[
81 - 2 \times 2 - 2
\]

### Step 3: Multiplication
Now perform the multiplication:
\[
2 \times 2 = 4
\]
The expression becomes:
\[
81 - 4 - 2
\]

### Step 4: Subtraction (from left to right)
First subtraction:
\[
81 - 4 = 77
\]
Second subtraction:
\[
77 - 2 = 75
\]

### Final Answer:
The simplified expression is:
\[
\boxed{75}
\]

Do you want more details or have any questions about the process?

Here are 5 relative questions to expand on this:

1. How does the order of operations affect simplification of expressions?
2. What happens if you perform the operations in a different order?
3. How do you handle more complex expressions with parentheses and multiple exponents?
4. Why is it important to handle division and multiplication from left to right?
5. Can you think of an expression where changing the order of operations results in a different answer?

**Tip**: Always follow the order of operations carefully to avoid mistakes, especially when dealing with more complex expressions.

Use the order of operations to simplify the expression: 9 squared minus 98 divided by 7 squared times 2 minus 2

Simplify the expression 9 squared minus 98 divided by 7 squared times 2 minus 2 by following the order of operations (PEMDAS). This problem involves exponents, multiplication, division, and subtraction. Suitable for students in Grades 6-8.

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