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Multiply. Write your answer in scientific notation.\newline(3×104)(2×104)(3 \times 10^4)(2 \times 10^4)\newline______

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Q. Multiply. Write your answer in scientific notation.\newline(3×104)(2×104)(3 \times 10^4)(2 \times 10^4)\newline______
  1. Identify Components: Identify the components of the multiplication problem.\newlineWe have: 3×104)(2×104)(3 \times 10^4)(2 \times 10^4)(\newlineGroup the coefficients and power terms together.\newlineCoefficients: \$3\) and \(2\)\(\newline\)Power terms: \(10^4\) and \(10^4\)
  2. Multiply Coefficients: Multiply the coefficients.\(\newline\)What is \(3 \times 2\)? Multiply the coefficients.\(\newline\)\(3 \times 2 = 6\)
  3. Combine Power Terms: Combine the power terms.\(\newline\)Write \(10^4 \times 10^4\) as a single power of \(10\). When multiplying powers with the same base, we add the exponents.\(\newline\)\(10^4 \times 10^4\)\(\newline\)\(= 10^{4 + 4}\)\(\newline\)\(= 10^8\)
  4. Final Answer: Combine the results from Step \(2\) and Step \(3\) to write the final answer in scientific notation.\(\newline\)Coefficient = \(6\)\(\newline\)Power term = \(10^8\)\(\newline\)Scientific notation: \(6 \times 10^8\)

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