Final answer:
To find the sum of (3.8 x 10⁵) and (5.7 x 10⁵), add the coefficients to get 9.5 and retain the common power of 10, resulting in a final answer of 9.5 x 10⁵ in scientific notation.
Step-by-step explanation:
To add the numbers (3.8 × 10⁵) and (5.7 × 10⁵) in scientific notation, we can simply add the coefficients because the powers of 10 are the same. Here's how you do it step by step:
1. Add the coefficients: 3.8 + 5.7 = 9.5.
2. Since the power of 10 is the same for both numbers (10⁵), we keep it the same in the result.
3. Combine the sum of coefficients with the power of 10 to express the result in scientific notation: 9.5 × 10⁵.
This results in the final answer in scientific notation being 9.5 × 10⁵.