Math Problem Statement

Solve

Simplify the expression: 2a^3 / (a^2√a)^3

Solution

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Here are some related questions that you might also find useful:

  1. How do you simplify expressions involving exponents and roots?
  2. What are the properties of fractional exponents and how can they be applied?
  3. How can we expand expressions raised to a power?
  4. How do you simplify expressions with multiple terms in the denominator?
  5. How do you apply the rules of exponents in more complex fractions?

Tip: Remember that roots can be rewritten as fractional exponents to make simplification easier!

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Math Problem Analysis

Mathematical Concepts

Exponentiation
Roots
Algebraic Fractions

Formulas

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

Theorems

Properties of Exponents
Simplifying Radical Expressions

Suitable Grade Level

Grades 9-12