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The problem given is:

\[ a = 9 \quad \text{and} \quad b = 2 \]

You need to calculate the value of:

\[
\frac{a}{b} - a^b
\]

Let's break this down step by step:

1. **Calculate \( \frac{a}{b} \):**

   \[
   \frac{9}{2} = 4.5
   \]

2. **Calculate \( a^b \):**

   \[
   9^2 = 81
   \]

3. **Subtract \( a^b \) from \( \frac{a}{b} \):**

   \[
   4.5 - 81 = -76.5
   \]

So, the final answer is:

\[
\boxed{-76.5}
\]

Would you like a more detailed explanation or have any questions?

Here are 5 related questions:
1. What is the general formula for calculating \( a^b \) and how does it differ when \( b \) is a negative integer?
2. How does the expression change if \( b \) were a fraction instead of an integer?
3. Can you explain the difference between arithmetic operations and exponentiation?
4. How would the expression \( \frac{a}{b} - a^b \) change if both \( a \) and \( b \) were negative?
5. How do you interpret and solve similar expressions when \( a \) and \( b \) are variables instead of constants?

**Tip:** When subtracting large numbers, double-check your calculations to avoid simple mistakes.

Given a = 9 and b = 2, work out the value of (a/b) - a^b.

Learn how to solve the arithmetic expression (a/b) - a^b where a = 9 and b = 2. This problem involves basic arithmetic operations, including division, exponentiation, and subtraction, suitable for students in Grades 6-8.

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