Multiply. Write your answer in scientific notation. (3 × 10²)(1 × 10⁴)

To multiply the numbers in scientific notation, you can follow these steps:

1. Multiply the coefficients: Here, you multiply 3 (the coefficient of the first number) by 1 (the coefficient of the second number):

[

3 times 1 = 3

]

2. Add the exponents: Since both numbers are in base 10, you add the exponents 2 and 4:

[

2 + 4 = 6

]

3. Combine the results: Put it all together:

[

3 times 10^6

]

Thus, the answer in scientific notation is:

[

boxed{3 times 10^6}

]

This means the product of (3 × 10²)(1 × 10⁴) is 3 × 10^6. If you have further questions or need more in-depth help, feel free to check the extended services page!