left parenthesis rs right parenthesis Superscript negative 3

The expression you've written, "(rs)⁻³," can be interpreted as:

\[
(rs)^{-3} = \frac{1}{(rs)^3}
\]

This represents the reciprocal of \((rs)^3\). If you want to expand it, the result would be:

\[
(rs)^{-3} = \frac{1}{r^3 s^3}
\]

So, the expression with a negative exponent in simplified form is:

\[
(rs)^{-3} = \frac{1}{r^3 s^3}
\]

Let me know if you'd like more details or have any questions!

Here are some related questions to explore:
1. What is \((rs)^3\) when \(r = 2\) and \(s = 3\)?
2. How do you simplify \((ab)^{-4}\)?
3. What is the meaning of negative exponents in general?
4. How do you handle exponents when both the base and exponent are negative?
5. What happens when you multiply two terms with negative exponents, like \((x^{-2})(y^{-3})\)?

**Tip:** Negative exponents represent reciprocals of the base raised to the positive exponent!

Understand how to simplify the expression (rs)⁻³ using the properties of exponents. This detailed explanation breaks down how negative exponents work and provides step-by-step guidance for algebra students in Grades 8-10.

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