Final answer:
The product of (3 \( \times \) 10°) \( \times \) (2 \( \times \) 10) is calculated by multiplying the coefficients and then adding the exponents of 10.
Step-by-step explanation:
To find the product of (3 \( \times \) 10°) \( \times \) (2 \( \times \) 10) in scientific notation, we follow the rules for multiplying numbers in scientific notation. First, we multiply the coefficients (the numbers out front), and then we add the exponents of the powers of 10.
Step 1: Multiply the coefficients, 3 \( \times \) 2 = 6.
Step 2: Add the exponents of 10. Since 10° is the same as 100, which equals 1, we have 100 \( \times \) 101 (Note: 10 is the same as 101). To add the exponents, 0 + 1 = 1.
Therefore, the product in scientific notation is 6 \( \times \) 101 or 6 \( \times \) 10.
Since there was no option matching our result, it seems like there might have been a typo in the original question. The correct scientific notation for the given example is 6 \( \times \) 101, which is not equivalent to any of the provided answer choices A through D.