Math Problem Statement

simplify

(a^3 b^(-2) / a^(-3) b^2)^3

Solution

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Would you like me to walk you through how to simplify the expression manually, or do you have any other questions?

Here are 5 related questions to expand on this:

  1. How do exponent rules apply when simplifying algebraic expressions?
  2. How can negative exponents be rewritten in terms of positive exponents?
  3. How do you distribute an exponent over a fraction?
  4. What steps are involved in dividing powers with the same base?
  5. How can you simplify powers raised to another power?

Tip: Always simplify expressions step by step to avoid errors, especially when dealing with exponents.

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Math Problem Analysis

Mathematical Concepts

Exponent Rules
Algebraic Fractions
Laws of Exponents

Formulas

a^m / a^n = a^(m-n)
(a^m)^n = a^(m*n)
(a/b)^n = a^n / b^n

Theorems

Exponent Multiplication Rule
Exponent Division Rule

Suitable Grade Level

Grades 9-12