Math Problem Statement
Simplify the expression (9a^2 b^(-1) c^3 / 27 a^(-1) b^3 c^2)^(-1)
Solution
The given expression simplifies to:
Would you like further details or have any questions about the process?
Here are 5 related questions for further exploration:
- How do you simplify a fractional exponent expression in general?
- What are the rules for simplifying powers of variables in algebraic fractions?
- How would the answer change if the exponent was positive instead of negative?
- Can we factor or expand the simplified expression further?
- 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.
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Math Problem Analysis
Mathematical Concepts
Exponent Rules
Algebraic Fractions
Simplification
Formulas
a^m / a^n = a^(m-n)
(a^m)^n = a^(m*n)
(ab)^n = a^n b^n
Theorems
Laws of Exponents
Suitable Grade Level
Grades 10-12