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OLga [1]
3 years ago
6

If x and y are positive real numbers, which expression is equivalent to the expression below?

Mathematics
1 answer:
Vika [28.1K]3 years ago
8 0

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>

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