Question
3x10 to the 4 power times 2x10 to the 3 power
Answers
GPT-4o mini
To multiply the expressions \(3 \times 10^4\) and \(2 \times 10^3\), you can use the properties of multiplication for both the coefficients and the powers of ten separately.
1. **Multiply the coefficients:** \(3 \times 2 = 6\)
2. **Multiply the powers of ten:** \(10^4 \times 10^3 = 10^{(4 + 3)} = 10^7\)
Now, combine the results:
\[
3 \times 10^4 \times 2 \times 10^3 = 6 \times 10^7
\]
Thus, the final answer is:
\[
6 \times 10^7
\]
1. **Multiply the coefficients:** \(3 \times 2 = 6\)
2. **Multiply the powers of ten:** \(10^4 \times 10^3 = 10^{(4 + 3)} = 10^7\)
Now, combine the results:
\[
3 \times 10^4 \times 2 \times 10^3 = 6 \times 10^7
\]
Thus, the final answer is:
\[
6 \times 10^7
\]