Final answer:
The product of 630 × 7.2 × 10⁴, when converted to scientific notation, is 4.536 × 10⁷. So option (a) is correct.
Step-by-step explanation:
The product of 630 × 7.2 × 10⁴ is calculated by first multiplying 630 and 7.2 to get 4536.
Now, combine these results into scientific notation. The general form of scientific notation is a×10n , where a is a number greater than or equal to 1 and less than 10, and n is an integer.
In our case, 4536 is not in scientific notation because it's greater than 10. We can express it as 4.536×103. This is achieved by moving the decimal point one place to the left, and the exponent is increased by 1.
Then, we multiply this number by 10⁴ (or 10000) to get 45360000.
This result can then be expressed in scientific notation by identifying the significant digits and the order of magnitude, which gives us 4.536 × 10⁷ (option A).