Question

What is the value of $e^0$ and $e^1$?

Answer 1

Step 1. Determine the value of $e^0$.

The zero-power rule states that if the exponent is zero, the outcome is $1$, regardless of the base value.

It signifies that every number raised to the power of $0$ is equal to one.

Therefore, the value of $e^0=1$.

Step 2. Determine the value of $e^1$.

$\begin{array}{rcl}{e}^1& =& e\\ & \Rightarrow & e=2.7183\dots \end{array}$

Therfore, the value is $\begin{array}{rcl}{e}^1& =& 2.7183\end{array}$.

Hence, the value of $e^0$ is $1$ and$\begin{array}{rcl}& & e^1\end{array}$ is $\begin{array}{rcl}& & 2.7183\end{array}$.