# Napiers Number **e** Raised to Power x Calculator

Calculate the e^{x} for the enterd value of x.

e^{x} is the exponential function with a rate of change proportional to the function itself is expressible in terms of the exponential function.

**e** (Napier's Number) and its approximate value is 2.718281828. x is the power value of the exponent **e**.

Based on the exponent **e** value 2.718281828 and raised to the power of x it has its own derivative, It is a famous irrational number and also called Euler's number after Leonhard Euler.

Let's understand e^{x} with example, the value of x can be 1,2,3,4 .... ,** ∞ or -∞**:

e^{1} = (2.718281828)^{1} = 2.718281828

e^{2} = (2.718281828)^{2} = 2.718281828 x 2.718281828 = 7.38906

e^{3} = (2.718281828)^{3} = 2.718281828 x 2.718281828 x 2.718281828 = 20.08554

e^{4} = (2.718281828)^{4} = 2.718281828 x 2.718281828 x 2.718281828 x 2.718281828 = 54.59815

** The formula for e ^{x} : multiply the value of e(2.718281828) x times.**

## e to the power infinity (∞)

It means that e increases at a very high rate when e is raised to the power of infinity which leads towards a very large number, so it is concluded that e raised to the infinity of power is infinity.

When e is raised to the negative infinity power, it leads toward a very small number and thus tends to zero.