Question

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

Explanation:

Step1: Use the exponential function value

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

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

Using a calculator, \(e^{2.3}\approx9.97418\).

Step3: Round to the nearest thousandths

The digit in the ten - thousandths place is \(1\). Since \(1\lt5\), we round down. So \(9.97418\approx9.974\).

Answer:

\(9.974\)