Math Problem Statement

a7b69ab\frac{\sqrt[9]{a^7b^6}}{\sqrt{ab}}Use rational exponents to simplify the following. If you still have rational exponents after simplifying, convert the expression back to radical notation. Assume all variables represent positive numbers

Solution

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Math Problem Analysis

Mathematical Concepts

Rational Exponents
Radical Expressions
Exponent Rules
Simplification

Formulas

\sqrt[n]{x} = x^{1/n}
x^m / x^n = x^{m-n}

Theorems

Distributive property of exponents
Simplifying fractional exponents

Suitable Grade Level

Grades 9-12