To compute \((6.02 \times 10^{23}) \times (8.65 \times 10^{4})\), you can multiply the coefficients (6.02 and 8.65) and then add the exponents of 10.
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First, multiply the coefficients: \[ 6.02 \times 8.65 \approx 52.059 \]
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Next, add the exponents: \[ 23 + 4 = 27 \]
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Now, combine the results: \[ 52.059 \times 10^{27} \]
To write it in proper scientific notation, where the coefficient is between 1 and 10, you can adjust it as follows: \[ 5.2059 \times 10^{28} \]
Thus, the final result is: \[ 5.2059 \times 10^{28} \]