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The expression you provided is \((a - b)^{-2}\), which represents the inverse square of the quantity \(a - b\). 

To simplify or understand this better:

\[
(a - b)^{-2} = \frac{1}{(a - b)^2}
\]

This indicates that we are taking the reciprocal (or inverse) of the square of \(a - b\). 

### Key points:
- The negative exponent (-2) flips the expression, putting it in the denominator.
- You can expand further if \(a\) and \(b\) are known, but without specific values, this is the simplest form.

Do you have any questions or need more details?

### Relative Questions:
1. What happens if we expand \((a - b)^2\)?
2. How do negative exponents affect the behavior of functions?
3. Can you apply the inverse-square concept in physics or other real-world situations?
4. How does this formula change when \(a = b\)?
5. What if we change the exponent from \(-2\) to something else like \(-3\)?

### Tip:
When simplifying expressions with negative exponents, remember to reciprocate the base and change the exponent to positive before further operations.

Understand how to simplify the expression (a - b)^{-2}. This problem introduces negative exponents and reciprocals, important concepts in algebra. Ideal for students in Grades 8-10.

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