Division with Mixed Index and Power of Radicand (Fraction) - Radical over Integer (Level 1)

This math topic focuses on simplifying radical expressions with varying roots and powers, which involve division by integers and results expressed as fractions. It includes specific techniques such as rationalizing denominators and handling mixed indices and powers of radicands like cube roots or square roots raised to a power, followed by division by an integer. The problems are structured to test and enhance understanding of simplifying complex radical expressions, which is a pivotal skill in advanced algebra topics.

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Division with Mixed Index and Power of Radicand (Fraction) - Radical over Integer

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What does this radical expression simplify to?

3633216\frac{\sqrt[3]{36^{3} }}{216}

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