Multiply. Write your answer in scientific \( \left(4.5 \times 10^{5}\right)\left(4.2 \times 10^{4}\right) \)
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To multiply the numbers in scientific notation, you first multiply the coefficients (the numbers in front) and then add the exponents (the powers of ten). So, \(4.5 \times 4.2 = 18.9\) For the exponents: \(10^{5} \times 10^{4} = 10^{(5+4)} = 10^{9}\) Now, combine them: \(18.9 \times 10^{9}\) However, since scientific notation requires the coefficient to be between 1 and 10, you can express 18.9 as \(1.89 \times 10^{1}\). So, the final answer is: \(1.89 \times 10^{10}\).