Final answer:
The cube root of the expression √(16y^4/x^6) in the simplest form is 2y/x^3. Hence the correct answer is option B
Step-by-step explanation:
To find the cube root of the expression √(16y^4/x^6), we can simplify it first. The square root of 16 is 4, and the square root of x^6 is x^3. So the expression becomes 4y^2/x^3. To find the cube root, we can take the cube root of each term. The cube root of 4 is 2, and the cube root of y^2 is y. So the final simplified form is 2y/x^3, which is option b) 2y/x^2.