Exponent Calculator

Compute powers with positive, negative and fractional exponents, see the exponent rules that apply and the scientific notation.

Your result will appear here

Fill in the fields and press Calculate, or pick one of the examples.

About the Exponent Calculator

Raises a base to any real exponent. Negative exponents give reciprocals, fractional exponents give roots, and a negative base with a fractional exponent gives a complex principal value.

Alongside the value you get the result in scientific notation and the exponent rule that explains it.

Limitations

$0^0$ is reported as 1, the usual convention in algebra and combinatorics; as a limit it is an indeterminate form.

How to use it

Enter the base and the exponent. Both may be expressions such as 1/2 or pi.
Press Calculate.
Read the rule that applies in the working.

Example

2^10

→ 1024

Formulas used

a^{-n} = \frac{1}{a^{n}}

A negative exponent means the reciprocal.

a^{m/n} = \sqrt[n]{a^{m}}

A fractional exponent is a root of a power.

a^{m} a^{n} = a^{m+n},\quad (a^{m})^{n} = a^{mn},\quad (ab)^{n} = a^{n} b^{n}

The product, power-of-a-power and power-of-a-product rules.

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About the Exponent Calculator

Limitations

How to use it

Formulas used

Related tools

About the Exponent Calculator

Limitations

How to use it

Formulas used