Which expression is equivalent to cube root of 256 x to the 10th power y to the 7th power ?

Separate perfect cubes from the factors inside the cube root: 256 = 64 × 4, x¹⁰ = x⁹ × x, and y⁷ = y⁶ × y. Taking the cube roots of 64, x⁹, and y⁶ gives 4x³y², leaving 4xy inside the cube root. Thus the equivalent expression is 4x³y²∛(4xy), choice D.

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