Question
(3x10^4) (7.2 x 10^2)
Answers
GPT-4o mini
To multiply the numbers \( (3 \times 10^4) \) and \( (7.2 \times 10^2) \), you can multiply the coefficients (the numbers in front) and then add the exponents of the powers of 10.
1. **Multiply the coefficients**:
\( 3 \times 7.2 = 21.6 \)
2. **Add the exponents**:
\( 10^4 \times 10^2 = 10^{(4 + 2)} = 10^6 \)
Now, combine the results:
\( 21.6 \times 10^6 \)
To express this in scientific notation, it should be in the form \( a \times 10^n \) where \( 1 \leq a < 10 \). In this case, we can convert \( 21.6 \) to \( 2.16 \) and adjust the exponent:
\( 21.6 \times 10^6 = 2.16 \times 10^7 \)
Thus, the final answer is:
\[
\boxed{2.16 \times 10^7}
\]
1. **Multiply the coefficients**:
\( 3 \times 7.2 = 21.6 \)
2. **Add the exponents**:
\( 10^4 \times 10^2 = 10^{(4 + 2)} = 10^6 \)
Now, combine the results:
\( 21.6 \times 10^6 \)
To express this in scientific notation, it should be in the form \( a \times 10^n \) where \( 1 \leq a < 10 \). In this case, we can convert \( 21.6 \) to \( 2.16 \) and adjust the exponent:
\( 21.6 \times 10^6 = 2.16 \times 10^7 \)
Thus, the final answer is:
\[
\boxed{2.16 \times 10^7}
\]