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Multiply. Write your answer in scientific notation.\newline(1×105)(7×103)(1 \times 10^5)(7 \times 10^3)\newline______

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Full solution

Q. Multiply. Write your answer in scientific notation.\newline(1×105)(7×103)(1 \times 10^5)(7 \times 10^3)\newline______
  1. Identify Coefficients and Powers: Identify the coefficients and the powers of ten.\newlineCoefficients: 11 and 77\newlinePower terms: 10510^5 and 10310^3
  2. Multiply Coefficients: Multiply the coefficients.\newline1×7=71 \times 7 = 7
  3. Add Exponents: Add the exponents of the power terms since the bases are the same. 105×10310^5 \times 10^3 can be written as 10(5+3)10^{(5 + 3)} which simplifies to 10810^8.
  4. Combine Results: Combine the results from Step 22 and Step 33 to write the final answer in scientific notation.\newlineCoefficient = 77\newlinePower term = 10810^8\newlineScientific notation: 7×1087 \times 10^8

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