To multiply the numbers in scientific notation, you can follow these steps:
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Multiply the coefficients: Multiply the numbers \(1.87\) and \(6.7\).
\[ 1.87 \times 6.7 = 12.529 \]
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Add the exponents: Add the powers of ten \(10^{9}\) and \(10^{6}\).
\[ 9 + 6 = 15 \]
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Combine the results: Now combine the coefficient with the power of ten.
\[ 12.529 \times 10^{15} \]
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Convert to proper scientific notation: Scientific notation requires the coefficient to be between 1 and 10. We need to adjust \(12.529\) to be \(1.2529\) by shifting the decimal point one place to the left, which increases the exponent by 1.
\[ 12.529 \times 10^{15} = 1.2529 \times 10^{16} \]
So, the final answer in scientific notation is:
\[ \boxed{1.2529 \times 10^{16}} \]