Which expression is equivalent to cube root of x to the 5th power y ?

A cube root is the same as raising the quantity inside it to the 1/3 power. Thus, ∛(x⁵y) = (x⁵y)^(1/3) = x^(5/3)y^(1/3), using the rule that a power applies to each factor. This matches choice C, x raised to the 5/3 power times y raised to the 1/3 power.

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