Exponent Calculator

Calculate powers and exponents quickly using this free online exponent calculator.

Enter a base and exponent to calculate the result, including positive, negative, fractional, and zero exponents.

Calculate a Power

Enter the base and exponent below.

Base

Exponent

Enter values to see the expression.

What Is an Exponent?

An exponent tells you how many times a number is multiplied by itself. In the expression 5³, 5 is the base and 3 is the exponent.

This means 5 is multiplied by itself three times: 5 × 5 × 5 = 125.

Types of Exponents

Positive Exponents

A positive exponent indicates repeated multiplication. For example, 3⁴ means 3 × 3 × 3 × 3, which equals 81.

Zero Exponent

Any nonzero number raised to the power of zero equals 1. Therefore, 7⁰ = 1.

Negative Exponents

A negative exponent represents the reciprocal of the corresponding positive power. For example, 2⁻³ = 1/2³ = 1/8.

Fractional Exponents

A fractional exponent can represent a root. For example, 16^1/2 equals √16, which is 4.

Common Exponent Rules

Rule	Formula	Example
Product of powers	a^m × aⁿ = a^m+n	2² × 2³ = 2⁵
Quotient of powers	a^m ÷ aⁿ = a^m−n	2⁵ ÷ 2² = 2³
Power of a power	(a^m)ⁿ = a^mn	(2²)³ = 2⁶
Zero exponent	a⁰ = 1	10⁰ = 1
Negative exponent	a⁻ⁿ = 1/aⁿ	2⁻² = 1/4