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Exponential Function Calculator

Evaluate y = a · bˣ for given values.

y = a · bˣ 162.89

Formula: y = a · bˣ

Step-by-step with your numbers:
1. Values used:
2. Initial value a = 100
3. Base b = 1.05
4. Exponent x = 10
5.
6. y = a · bˣ = 162.89
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An exponential function grows or decays by a constant factor for each step in x.

The math behind it

y = a · bˣ. If b > 1 it grows; if 0 < b < 1 it decays. a is the value at x = 0.

Worked example

100 × 1.05¹⁰ ≈ 162.89 (5% growth for 10 periods).

FAQ

How does this relate to compound interest?

It is the same formula, with b = 1 + interest rate per period.

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Exponential Growth Calculator Project exponential growth or decay over time. e^x Calculator Raise Euler's number e to a power. Exponent Calculator Raise a base to a power.