Fraction Exponent Calculator

Fraction Exponent Calculator

Raise a fraction to an integer or decimal power and see the simplified fraction or decimal result.

Last updated: June 2026 | By Patchworkr Team

Fraction Powers
Integer exponents return exact simplified fractions. Non-integer exponents return a decimal approximation.
Result
Expression
(1/2)^2
Value
1/4
Exact simplified fraction: 1/4

How it works

A whole-number exponent raises the numerator and denominator separately. A decimal exponent evaluates the fraction value directly.

Validation

The denominator cannot be zero, and zero cannot be raised to a negative power.

Formula and example

(a/b)^n = a^n / b^n

Example: (2/3)^3 = 8/27.

Worked Example

Compute (2/3)^3.

1. Raise the numerator: 2^3 = 8.

2. Raise the denominator: 3^3 = 27.

3. Simplify the fraction: 8/27.

Final answer: 8/27

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