Answer :
Final answer:
The product of 3.00x10¹³ and 1.22x10¹ in scientific notation is 3.66 x 10²².
Explanation:
To multiply the two numbers in scientific notation, 3.00x10¹³ and 1.22x10¹, we multiply the base numbers (3.00 and 1.22) together and then add the exponents (13 and 9). Calculating the base numbers gives 3.00 x 1.22 = 3.66. Adding the exponents gives 13 + 9 = 22. So, the product in scientific notation is 3.66 x 10¹².
Correct scientific notation requires that the coefficient (the base number) is at least 1 but less than 10, and the exponent represents the number of decimal places the decimal has moved. The provided options are formatted with the coefficient in the correct range for scientific notation, but not all the exponents. The correct answer is a) 3.66 x 10²².