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
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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Exponential Function a^x