Powers and roots

Calculate a power or an integer-degree root in the real numbers.

Your inputs stay in your browser. Displayed results are rounded to a maximum of 12 significant digits.

Method and assumptions

Method version 1.0.0 · Updated September 23, 2026

Power

Formula: bˣ

Decimal exponents are accepted for positive bases. Negative bases require integer exponents; 0⁰ and negative powers of zero are rejected. Approximate real calculation, without complex numbers. Example: 2³ = 8.

base: Base
exponent: Exponent

Root

Formula: ⁿ√x

Principal real root for a positive number. For a negative number, only odd degrees are accepted. Example: the cube root of −27 is −3. Results outside the numeric range are reported.

value: Number
degree: Root degree

Approximate real floating-point calculation; at most 12 significant digits displayed. Results outside the domain or numeric range are reported.

Calculate with code

These short examples use the same inputs and core calculation as this tool. Adapt validation and formatting to your application.

JavaScript

const power = 3 ** 4;
const root = Math.sqrt(81);
console.log(power, root); // 81 9

TypeScript

const power = 3 ** 4;
const root = Math.sqrt(81);
console.log(power, root); // 81 9

Python

power = 3 ** 4
root = 81 ** 0.5
print(power, root)  # 81 9.0

Java

double power = Math.pow(3, 4), root = Math.sqrt(81);
System.out.println(power + " " + root); // 81.0 9.0

double power = Math.Pow(3, 4), root = Math.Sqrt(81);
Console.WriteLine($"{power} {root}"); // 81 9