Explanation: The fourth root means that the bracket under has the root has a power of 1/4. So, the given expression is: (81 * x^8 * y^5)^1/4 Now, we will distribute the power as follows: (81 * x^8 * y^5)^1/4 = (81)^1/4 * (x^8)^1/4 * (y^5)^1/4 = 3 * x^2 * y^5/4 This expression is equivalent to: 3x^2 (y^5)^1/4 which is the first choice