1. The problem is to evaluate the expression $8 \times e^8$ where $e$ is the base of the natural logarithm, approximately equal to 2.71828. 2. The formula used here is simple multiplication combined with exponentiation: $a \times b^c$ means multiply $a$ by $b$ raised to the power $c$. 3. Calculate $e^8$ first. This is $e$ multiplied by itself 8 times. 4. Using a calculator or approximation, $e^8 \approx 2980.957987$. 5. Now multiply this result by 8: $8 \times 2980.957987 \approx 23847.6639$. 6. Therefore, the value of $8 \times e^8$ is approximately $23847.6639$. This completes the evaluation.