kellihamilton kellihamilton
  • 17-01-2020
  • Mathematics
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roundadworthy
roundadworthy roundadworthy
  • 17-01-2020

Answer:

The correct answer is D. xy⁵ ∛ xy

Step-by-step 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

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