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Exponential Function a^x

Enter a base a and an exponent x to compute the exponential function a^x. It also returns e^x, 2^x, and 10^x with a curve graph.

Input

Enter a base a and an exponent x to compute the exponential function a^x.

Enter a positive number (for example 2).

Enter any real number (for example 3).

Result

2 to the power of 3

8

y = 2^x

e^x (natural)

20.08553692

2^x

8

10^x

1,000

Formula

2^3 equals 8

When the base a is greater than 1 the value grows fast as x increases, and between 0 and 1 it decreases. When x is 0 the value is always 1.

How it works

  • The exponential function is defined as a^x where the base a is a positive number.
  • When the base a is greater than 1 the value grows fast as x increases, and between 0 and 1 it decreases.
  • When x is 0 the value of a^x is always 1.
  • e^x is the natural exponential function where e is about 2.71828.

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