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Napiers Number e Raised to Power x Calculator


Calculate the ex for the enterd value of x.


ex 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 ex with example, the value of x can be 1,2,3,4 .... , ∞ or -∞:

e1 = (2.718281828)1 = 2.718281828

e2 = (2.718281828)2 = 2.718281828 x 2.718281828 = 7.38906

e3 = (2.718281828)3 = 2.718281828 x 2.718281828 x 2.718281828 = 20.08554

e4 = (2.718281828)4 = 2.718281828 x 2.718281828 x 2.718281828 x 2.718281828 = 54.59815

The formula for ex : 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.