Division with Mixed Index and Power of Radicand (Fraction) - Integer over Radical (Level 2)

This math topic focuses on simplifying radical expressions, specifically handling division problems involving mixed indices and powers of the radicand. It involves simplifying radicals where an integer is divided by a radical expression, which may also be to a fractional power. The exercises are designed to challenge understanding of simplifying radical expressions as part of a broader unit on radicals. Each problem provides multiple-choice answers, emphasizing the application of radical rules and properties for correct simplification.

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

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What does this radical expression simplify to?

27823\frac{27}{\sqrt[3]{8^{2} }}

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