Pregunta
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: \( 25 \times 10 \wedge 3,25 \times 10 \wedge-3 \) \[ \left(9.1 \times 10^{6}\right)\left(7.8 \times 10^{5}\right) \]
Ask by Howell Hampton. in the United States
Mar 05,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\(7.098 \times 10^{12}\)
Solución
Calculate or simplify the expression \( (9.1 \times 10^{6}) \times (7.8 \times 10^{5}) \).
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:
\(7.098\times 10^{12}\)
The product of \(9.1 \times 10^{6}\) and \(7.8 \times 10^{5}\) is \(7.098 \times 10^{12}\) in scientific notation, rounded to the nearest thousandth.
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Como
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Beyond the Answer
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: \( 7.106 \times 10 \wedge 12 \)

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