Final answer:
To multiply the given numbers, first, multiply the decimals (4.7 and 3.0) to get 14.1, then add the exponents (4 and 5) to get 9, and combine these results to get 14.1 x 10^9. The correct scientific notation is 1.41 x 10^10.
Step-by-step explanation:
This involves multiplying decimals and powers and then expressing the answer in scientific notation. To solve the problem (4.7 x 10⁴) x (3.0 x 10⁵), you multiply the decimal parts (4.7 x 3.0) and then add the exponents of the powers of 10 (10⁴ x 10⁵). First, multiply the decimals: 4.7 x 3.0 = 14.1. Next, add the powers of 10: 10⁴ x 10⁵ = 10⁴+⁵ = 10⁹. Combine both results: 14.1 x 10⁹. Now, the answer must be adjusted to proper scientific notation, which is 1.41 x 10¹¹, making the correct answer b. 1.41 x 10¹¹.