Final answer:
To write an expression as a simplified rational expression, simplify by eliminating terms, reducing common factors, and applying rules such as the division of exponentials. After simplifying, ensure the expression is reasonable. If necessary, expand terms and multiply by the denominator for further simplification.
Step-by-step explanation:
To write the expression as a simplified rational expression, the first step is to eliminate terms wherever possible to simplify the algebra. This involves multiplying the numerators and denominators together and canceling out any common factors. For example, if we have a fraction with the same variable in the numerator and the denominator, we can reduce the fraction by canceling out that variable, provided it does not equal zero. After simplifying, it's vital to check that the simplified expression is reasonable.
When dealing with division of exponentials, divide the digit term of the numerator by the digit term of the denominator and subtract the exponents of the exponential terms. If an expression has the same quantity in the numerator and the denominator, those quantities cancel out, making the fraction equivalent to 1. However, if the expression is not immediately simplifiable, we may need to expand the terms and multiply both sides by the denominator to simplify further.