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The expression \( a^{-1} \) represents the reciprocal of \( a \). In other words:

\[
a^{-1} = \frac{1}{a}
\]

This is based on the property of exponents where \( a^{-n} = \frac{1}{a^n} \), and for \( n = 1 \), it simplifies to \( \frac{1}{a} \).

Would you like further details or have any other questions? 

Here are 5 related questions:
1. What happens when \( a = 0 \) in \( a^{-1} \)?
2. How do we simplify \( (a^n)^{-1} \)?
3. What is the value of \( a^{-2} \)?
4. How do negative exponents work with fractions?
5. How can we interpret negative exponents in real-world applications?

**Tip:** A negative exponent indicates the reciprocal of the base raised to the corresponding positive power.

Explore how the expression a^-1 represents the reciprocal of a, simplifying to 1/a. This page covers the fundamental properties of exponents, suitable for students in Grades 7-9. Understand the application of negative exponents in algebra.

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