To compute \((6.02 \times 10^{23}) \times (8.65 \times 10^{4})\), you can use the properties of exponents.
First, multiply the coefficients (the numbers in front): \[ 6.02 \times 8.65 = 52.099 \]
Next, add the exponents: \[ 10^{23} \times 10^{4} = 10^{(23+4)} = 10^{27} \]
Now, combine the results: \[ 52.099 \times 10^{27} \]
Finally, it's usually best to express this in proper scientific notation: \[ 5.2099 \times 10^{28} \]
So, the result of \((6.02 \times 10^{23}) \times (8.65 \times 10^{4})\) is approximately \(5.21 \times 10^{28}\) when rounded to three significant figures.