Evaluate f(x) = a * b^x with live validation and a clear result panel.
Last updated: June 2026 | By Patchworkr Team
An exponential function multiplies by the same base repeatedly as x changes. It is a core pattern in growth, decay, finance, and population models.
Values of b greater than 1 create growth, while values between 0 and 1 create decay. A base of 1 always gives a constant result.
Example: 3 * 2^4 = 3 * 16 = 48.
Evaluate f(x) = 3 * 2^4.
1. Set a = 3, b = 2, and x = 4.
2. Compute 2^4 = 16.
3. Multiply by a: 3 * 16 = 48.
Final answer: 48
Yes. If b = 1, the output is constant because 1 to any power is 1.
This calculator is set up for real-valued inputs, so nonpositive bases can produce non-real results for fractional x values.
Yes. A negative a flips the output below zero while keeping the same exponential pattern.
Yes. All inputs accept finite decimals and scientific notation.
Related Tools