Multiply the radical expressions and simplify your answer.−36x6y3−−−−−√⋅210xy6−−−−−√−36𝑥6𝑦3⋅210𝑥𝑦6Select one:a. −12x3y415xy−−−−√−12𝑥3𝑦415𝑥𝑦b. −1215x7y9−−−−−−√−1215𝑥7𝑦9c. −24x3y415xy−−−−√−24𝑥3𝑦415𝑥𝑦d. −24xyx5y7−−−−√

The question is asking to multiply the two given radical expressions and simplify the answer.

The given expressions are: √(-36x^6y^3) and √(210xy^6)

Step 1: Multiply the two expressions together: √((-36x^6y^3) * (210xy^6))

Step 2: Simplify the expression under the radical: = √(-7560x^7y^9)

Step 3: Break down the expression under the radical into its prime factors: = √((-12^23^357) * (x^7 * y^9))

Step 4: For every pair of identical factors under the radical, one can be taken out: = -23x^3*y^4 * √(15xy)

So, the simplified form of the product of the two given expressions is -6x^3y^4√(15xy), which is not listed in the provided options. There might be a mistake in the question or the provided options.