Which expression is equivalent to the fraction with numerator 4th root of 6 and denominator cube root of 2 ?

Multiply the fraction by 2: the result is 2 · ⁴√6 / ³√2. Raising this expression to the 12th power gives 2¹² · 6³ / 2⁴ = 2¹¹ · 3³ = 55,296. So the expression is ¹²√55,296 / 2, which matches choice A.

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