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: \( 25 \times 10 \wedge 3,25 \times 10 \wedge-3 \) \[ \left(9.1 \times 10^{6}\right)\left(7.8 \times 10^{5}\right) \]

Calculate the value by following steps: - step0: Calculate: \(9.1\times 10^{6}\times 7.8\times 10^{5}\) - step1: Multiply the numbers: \(70.98\times 10^{6}\times 10^{5}\) - step2: Multiply: \(70.98\times 10^{11}\) - step3: Rewrite the number: \(7.098\times 10^{12}\) Round the number \( 7.098 \) to nearest thousandth. Round the number by following steps: - step0: Round \(7.098\) to \(3\) decimal places using standard rounding method: \(7.098\) To simplify the expression \((9.1 \times 10^{6})(7.8 \times 10^{5})\): 1. **Multiply the coefficients**: \[ 9.1 \times 7.8 = 71.058 \] 2. **Add the exponents**: \[ 10^{6} \times 10^{5} = 10^{(6+5)} = 10^{11} \] 3. **Combine the results**: \[ 71.058 \times 10^{11} \] 4. **Convert to scientific notation**: \[ 7.1058 \times 10^{12} \] 5. **Round to the nearest thousandth**: \[ 7.106 \times 10^{12} \] Thus, the final answer in scientific notation is: \[ 7.106 \times 10 \wedge 12 \]