Question Multiply. Write your product in scientific notation. (1.25×103)⋅(3.2×102) (1 point) Responses 4×106 4 times 10 to the 6th power 4×105 4 times 10 to the 5th power 4.45×105 4 point 4 5 times 10 to the 5th power 3×106

Answer 1

To multiply the numbers in scientific notation \((1.25 \times 10^3) \cdot (3.2 \times 10^2)\), we follow these steps:

1. Multiply the coefficients: \(1.25 \times 3.2 = 4.0\)

2. Add the exponents: \(10^3 \times 10^2 = 10^{3+2} = 10^5\)

Now we combine the results: \[ 4.0 \times 10^5 \]

Next, we express \(4.0\) in scientific notation: \[ 4.0 \times 10^5 = 4 \times 10^5 \]

Therefore, the final answer in scientific notation is: \[ \boxed{4 \times 10^5} \]