What is the following sum? cube root of 125 x to the 10th power y to the 13th power plus cube root of 27 x to the 10th power y to the 13th power

Rewrite each radicand by separating perfect cubes: x¹⁰ = x⁹·x and y¹³ = y¹²·y. Thus, ∛(125x¹⁰y¹³) = 5x³y⁴∛(xy), and ∛(27x¹⁰y¹³) = 3x³y⁴∛(xy). Adding like terms gives 8x³y⁴∛(xy), which is choice B.

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