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Multiply. Write your answer in scientific notation.\newline(2×103)(3×102)(2 \times 10^3)(3 \times 10^2)\newline______

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Q. Multiply. Write your answer in scientific notation.\newline(2×103)(3×102)(2 \times 10^3)(3 \times 10^2)\newline______
  1. Identify Coefficients and Powers: Identify the coefficients and the powers of 1010 in the given expression.\newlineCoefficients: 22 and 33\newlinePower terms: 10310^3 and 10210^2
  2. Multiply Coefficients: Multiply the coefficients together. 2×3=62 \times 3 = 6
  3. Add Exponents: Add the exponents of the power terms since the base is the same 1010.103×102=10(3+2)=10510^3 \times 10^2 = 10^{(3 + 2)} = 10^5
  4. Combine Results: Combine the results from Step 22 and Step 33 to write the final answer in scientific notation.\newlineCoefficient = 66\newlinePower term = 10510^5\newlineScientific notation: 6×1056 \times 10^5

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