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The given expression simplifies to:

\[
\frac{3b^3}{a^3c}
\]

Would you like further details or have any questions about the process?

Here are 5 related questions for further exploration:
1. How do you simplify a fractional exponent expression in general?
2. What are the rules for simplifying powers of variables in algebraic fractions?
3. How would the answer change if the exponent was positive instead of negative?
4. Can we factor or expand the simplified expression further?
5. How would you apply this simplification to a real-world algebraic problem?

**Tip:** When simplifying expressions, always start by combining like terms and applying exponent rules to reduce the equation step by step.

Simplify the expression (9a^2 b^(-1) c^3 / 27 a^(-1) b^3 c^2)^(-1)

Simplify the algebraic expression (9a^2 b^(-1) c^3 / 27 a^(-1) b^3 c^2)^(-1) using exponent rules and fractional algebraic manipulation. This problem covers exponent laws and is suitable for Grades 10-12.

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