The problem in the image asks to approximate the value of the expression:

$123e^{0.035(7)}$

Where $e$ is the base of the natural logarithm (approximately 2.71828), and you are instructed to round the result to three decimal places.

Let me calculate this for you.The approximation of the expression $123e^{0.035(7)}$ is approximately $157.147$, rounded to three decimal places.

Do you want further details or have any questions?

Here are some related questions to expand your understanding:

1. What is the value of $e$ and why is it important in exponential functions?
2. How does the natural exponential function differ from other exponential functions?
3. What happens if the exponent in $e^{x}$ is negative or zero?
4. How do you calculate powers of $e$ using a scientific calculator?
5. How can exponential functions model real-world phenomena such as growth and decay?

Tip: When working with exponential functions, remember that $e^x$ grows very quickly for positive $x$, and decays as $x$ becomes negative.