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Multiply. Write your answer in scientific notation.\newline(1×105)(9×103)(1 \times 10^5)(9 \times 10^3)\newline______

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Full solution

Q. Multiply. Write your answer in scientific notation.\newline(1×105)(9×103)(1 \times 10^5)(9 \times 10^3)\newline______
  1. Identify Components: Identify the components of the multiplication problem.\newlineWe have: 1×1051 \times 10^5(99 \times 1010^33\)\newlineGroup the coefficients and power terms together.\newlineCoefficients: 11 and 99\newlinePower terms: 10510^5 and 10310^3
  2. Multiply Coefficients: Multiply the coefficients.\newlineCalculate 1×91 \times 9.\newline1×9=91 \times 9 = 9
  3. Combine Power Terms: Combine the power terms into a single power of 1010. When multiplying powers with the same base, we add the exponents. Calculate 105×10310^5 \times 10^3. 105×103=10(5+3)=10810^5 \times 10^3 = 10^{(5 + 3)} = 10^8
  4. Write Final Answer: Combine the results from Step 22 and Step 33 to write the final answer in scientific notation.\newlineCoefficient = 99\newlinePower term = 10810^8\newlineScientific notation: 9×1089 \times 10^8

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