Short Answer
To rewrite the expression, start by identifying the exponential terms, which are y^1 in the numerator and y^(5/4) in the denominator. After dividing the coefficients (both 1), subtract the exponents, leading to the final expression y^(-1/4).
Step 1: Identify the Exponents
To begin rewriting the expression, start by identifying the exponential terms in both the numerator and the denominator. We have terms that look like y^1 in the numerator and y^(5/4) in the denominator. This is crucial as it allows us to easily apply the rules of exponents.
Step 2: Divide the Coefficients
Next, focus on the digit components of the expression. The digit term in our numerator is 1, and in the denominator, it is also 1. When dividing the coefficients, since 1 divided by 1 equals 1, this means our simplified expression will not require any additional changes to the coefficient.
Step 3: Subtract the Exponents
Finally, you’ll want to combine the terms by subtracting the exponent in the denominator from the exponent in the numerator. So, we will perform the operation: 1 – 5/4. This simplifies to -1/4. Therefore, the final expression can be rewritten as y^(-1/4), reflecting the rules of exponents.