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