Answer:
<u>The correct answer is C. 21x³y</u>
Step-by-step explanation:
Let's simplify the product, this way:
(49x²y)^1/2 * (27x⁶y^3/2)^1/3
Let's recall that x^1/2 = √x and x^1/3 = ∛x
√(49x²y) * ∛(27x⁶y^3/2)
7x √y * 3x² √y
Let's recall that √y * √y = √y² = y
21x³y
<u>The correct answer is C. 21x³y</u>