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Multiply. Write your answer in scientific notation.______
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Q. Multiply. Write your answer in scientific notation.______
- Identify Components: Identify the components of the multiplication problem.We have: Group the coefficients and power terms together.Coefficients: \$2\) and \(3\)\(\newline\)Power terms: \(10^4\) and \(10^3\)
- Multiply Coefficients: Multiply the coefficients.\(\newline\)What is \(2 \times 3\)? Multiply the coefficients.\(\newline\)\(2 \times 3 = 6\)
- Combine Power Terms: Combine the power terms.\(\newline\)Write \(10^4 \times 10^3\) as a single power of \(10\). When multiplying powers with the same base, we add the exponents.\(\newline\)\(10^4 \times 10^3\)\(\newline\)\(= 10^{4 + 3}\)\(\newline\)\(= 10^7\)
- Final Scientific Notation: Write the final answer in scientific notation.\(\newline\)We found:\(\newline\)Coefficient = \(6\)\(\newline\)Power term = \(10^7\)\(\newline\)Write the final answer in scientific notation. Substitute \(6\) for \(a\) and \(7\) for \(b\) in \(a \times 10^b\).\(\newline\)Scientific notation: \(6 \times 10^7\)
