# Exponent Calculator

URL: https://speedycalculator.com/calculators/math/exponent/
Last updated: 2026-10-25

> The exponent calculator raises a base to a power, including negative and fractional exponents. Type a result to solve for the exponent needed, which is a logarithm problem.

## Inputs

- Base
- Exponent

## Results

- Result
- b^(−n)

## Formula

```
y = bⁿ
n = log(y) ÷ log(b)
```

## Explanation

Exponents describe repeated multiplication, compound growth and scientific notation.

### How to use the Exponent Calculator

- **Base**
- **Exponent**
- Want to work backwards? Type a value into **Result** and **Exponent** is calculated for you.

Results update as you type, and every field accepts the units shown in its menu.

### How it works

Multiply the base by itself n times; fractional exponents are roots and negative exponents are reciprocals.

### Inputs explained

FieldWhat to enterBaseA numberExponentA number

### What each result means

- **Result** = [Base]^[Exponent]
- **b^(−n)** = [Base]^(-[Exponent])

### Example values

How the main result changes when **Exponent** changes and everything else stays at the example values above:

ExponentResult5327.5181.0193101,02412.55,792.61881532,768201,048,576

## Worked example

Inputs — Base: 2; Exponent: 10.

Results — **Result = 1,024**; b^(−n) = 0.0009765625.

## Key terms

- **Base**: The number being multiplied.
- **Exponent**: How many times the base is multiplied.

## FAQ

**What is anything to the power of zero?**
1, except 0⁰, which is usually defined as 1 in algebra.

**What does a fractional exponent mean?**
b^(1/2) is √b; b^(3/2) is (√b)³.

**What formula does the Exponent Calculator use?**
y = bⁿ.

**Can I work backwards from the result?**
Yes. Type the result you want into Result and the calculator finds the matching exponent.