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Math

Exponent Calculator

Raise a base to a positive, negative or fractional exponent when the result is real and finite.

Exact method explained belowEditable inputs

Set up your calculation

Runs on your device

SOLUTION

Your result

Let’s calculate.

Use the Calculate button to see your result.

Review the method below for assumptions and conventions.

How to use this tool

  1. Enter base, exponent.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

The method, explained

a^b means base a raised to exponent b. A negative exponent takes the reciprocal; a fractional exponent can represent a root.

A WORKED EXAMPLE

2^10 = 1,024; 4^0.5 = 2; 2^−3 = 0.125.

What to keep in mind

Uses real floating-point arithmetic. Negative bases with fractional exponents may be rejected even when an alternative rational-root interpretation exists. The convention 0^0 = 1 follows the numeric runtime.

Common questions

Why is 0 raised to a negative power rejected?

It would divide by zero and produce an infinite value.

Are integer powers always exact?

No. Large integer results can exceed floating-point integer precision. Use exact-integer tools where required.

Methodology maintained by ClarityKit. How these tools are built and checked.