4.82x10^{12} x 3.2 x10^{4}

Answer 1

To multiply \(4.82 \times 10^{12}\) by \(3.2 \times 10^{4}\), you can follow these steps:

1. Multiply the coefficients (the numbers before the exponent): \[ 4.82 \times 3.2 = 15.424 \]

2. Add the exponents (the powers of 10): \[ 10^{12} \times 10^{4} = 10^{(12 + 4)} = 10^{16} \]

3. Combine the results: \[ 15.424 \times 10^{16} \]

To express this in scientific notation, move the decimal point in \(15.424\) one place to the left, which gives \(1.5424\), and increase the exponent by 1 (from 16 to 17):

Thus, the final answer is: \[ 1.5424 \times 10^{17} \]