Question

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

Answer 1

The correct answer is C. 21x³y

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

The correct answer is C. 21x³y