Which of the following is equivalent to (∛32x^3 y^6)/(∛2x^9 y^2), where x ≥ 0 and y ≥ 0?

A. ∛16x^6 y^4

B. ∛y^4/16x^6

C. ∛16y^4/x^6

56 ur welcome:

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: multiply exponents per exponent rules to get: remember you subtract exponents from the denominator and add exponents in the numerator so: simplify further: so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.