Short Answer
The process involves identifying the base in the radicands to utilize rational exponents, simplifying the quotient by finding a common denominator and subtracting exponents, and finally expressing the result as the 4th root of y.
Step 1: Identify the Base
First, recognize that the given radicands are powers with the same base. This is crucial because it allows us to express these powers using rational exponents, which makes it easier to manipulate the expressions mathematically.
Step 2: Simplify the Quotient
Next, simplify the quotient of the exponential expressions. To do this, follow these sub-steps:
- Get a common denominator for the expressions.
- Subtract the exponents based on the properties of exponents.
- Apply the rules of exponents to simplify further.
Step 3: Express the Result
Finally, once the expression is simplified, determine its final form. The result should be expressed as the 4th root of y, indicating that you have achieved the required simplification and properly handled the exponents throughout the process.