Question

evaluate the following. round to the nearest thousandths. $e^{2.3}$

Explanation:

Step1: Use the exponential function value

We know that the value of \(e\approx2.71828\). To find \(e^{2.3}\), we can use a scientific calculator.

Step2: Calculate \(e^{2.3}\)

Using a calculator, \(e^{2.3}\approx9.974182454\).

Step3: Round to the nearest thousandths

Rounding \(9.974182454\) to the nearest thousandths (three decimal places). The fourth - decimal place is \(1\), which is less than \(5\). So we keep the third - decimal place as it is.

Answer:

\(9.974\)