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We are tasked with simplifying the expression:

\[
\frac{2^2 r s^2}{2^3 r^4 s^2}
\]

### Step-by-step simplification:

1. **Simplify the powers of 2**:
   \[
   \frac{2^2}{2^3} = 2^{2-3} = 2^{-1} = \frac{1}{2}
   \]

2. **Simplify the powers of \(r\)**:
   \[
   \frac{r}{r^4} = r^{1-4} = r^{-3} = \frac{1}{r^3}
   \]

3. **Simplify the powers of \(s^2\)**:
   \[
   \frac{s^2}{s^2} = 1
   \]

### Final simplified expression:
\[
\frac{1}{2 r^3}
\]

Thus, the simplified form is:
\[
\boxed{\frac{1}{2 r^3}}
\]

Would you like more details on any step or have any further questions?

Here are 5 related questions to explore:
1. How do we handle negative exponents in different contexts?
2. What are the rules for simplifying powers in a division?
3. Can you simplify a similar expression with different variables?
4. How does the result change if we introduce coefficients to the variables?
5. How do exponents behave when multiplying expressions?

**Tip:** Always subtract exponents when dividing terms with the same base.

Simplify the expression (2^2 r s^2) / (2^3 r^4 s^2) using the rules of exponents. Follow the step-by-step process to divide powers with the same base and simplify the result. Ideal for Grades 8-10.

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