35. Simplify. Write your answer in scientific notation. Round to the nearest * thousandth. Copy and paste the \( \wedge \) character to raise to the power. \{Do not use spaces in your answer\}. Sample Answers: \( 25 \times 10 \wedge 3,25 \times 10 \wedge-3 \) \[ \left(9.1 \times 10^{6}\right)\left(7.8 \times 10^{5}\right) \]

To simplify \( \left(9.1 \times 10^{6}\right)\left(7.8 \times 10^{5}\right) \), we multiply the coefficients \( 9.1 \times 7.8 = 71.058 \), and then add the exponents, \( 6 + 5 = 11 \). This gives us \( 71.058 \times 10^{11} \). To convert this into scientific notation by rounding to the nearest thousandth, we write it as \( 7.106 \times 10^{12} \). So, the final answer is: \( 7.106 \times 10 \wedge 12 \)