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The given expression simplifies to \( 3 \).

Would you like further details on the simplification process, or do you have any other questions?

Here are five related questions for further practice:
1. How can we factor expressions involving powers of 3?
2. What would happen if the base in the given expression were 2 instead of 3?
3. How does the exponent rule \( a^m / a^n = a^{m-n} \) apply in this case?
4. Can you generalize this type of simplification for any base, not just 3?
5. What is the result if you evaluate the expression for a specific \( n \), like \( n = 2 \)?

**Tip:** When simplifying exponential expressions, always look for common factors in both the numerator and denominator to reduce the expression more easily.

Simplify the expression: (3^(n+1) - 3^n) / (3^n - 3^(n-1))

Learn how to simplify the expression (3^(n+1) - 3^n) / (3^n - 3^(n-1)). This example demonstrates how to apply the laws of exponents and algebraic simplification techniques, suitable for students in Grades 9-12.

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