Final answer:
To simplify an expression with no negative exponents, divide the numerical coefficients, subtract the exponents, and express the result in scientific notation. If you encounter a negative exponent, convert it to a positive exponent by flipping the base to the denominator.
Step-by-step explanation:
To simplify the expression and ensure that there are no negative exponents, we need to perform the division of exponentials. When dividing numbers in scientific notation, we divide the digit terms and subtract the exponents from one another. Negative exponents indicate that we should flip the base to the denominator of a fraction and make the exponent positive. Unfortunately, since there was no specific expression given in the question, I will not be able to provide an exact simplified result. However, I can illustrate the process with a general example:
- Divide the numerical coefficients: For example, if you have (2.5 × 10^3) / (5 × 10^2), you would divide 2.5 by 5 to get 0.5.
- Subtract the exponents of the 10s: Here, you would subtract 2 from 3 (the exponents), resulting in 10^1 (or just 10).
- Combine the results: The simplified expression in scientific notation would then be 0.5 × 10^1.
If you encounter a negative exponent, for example, 10^-2, remember that it is equivalent to 1 / (10^2).
By following these steps, we ensure that the final expression has no negative exponents and is correctly simplified in scientific notation. Do not forget to also check if the simplified result looks reasonable and make sure the final expression is presented with the appropriate number of significant figures.