Answer:
The correct answer is D. xy⁵ ∛ xy
Explanation:
Let's find out the simplest radical form of the expression:
(x²y⁸)∧2/3
Let's recall that ⁿ√xᵃ = x∧(a/n), therefore we have:
∛(x²y⁸)²
∛x⁴y¹⁶
xy⁵ ∛ xy ⇒ 4/3 = 1 and 1 as remainder, 16/3 = 5 and 1 as remainder.
This is the simplest radical form of the expression.
The correct answer is D. xy⁵ ∛ xy