Fraction Exponent Calculator
Raise a fraction or mixed number to an integer, negative, decimal, or fractional exponent with exact results when possible.
Examples:
Enter the exponent as a fraction or a terminating decimal.
Raise a fraction to a power
The English SERP splits this intent between fraction exponent calculator, fractional exponent calculator, and power of a fraction calculator. The useful result is an exact fraction when the power is integer or the root is exact, otherwise an approximate decimal.
For an integer exponent, raise the numerator and denominator separately.
A negative exponent means take the reciprocal before applying the positive power.
A fractional exponent means raise to the numerator power and take the denominator root.
Exact and approximate results
| Input | Result type | Result |
|---|---|---|
| (2/3)^2 | exact | 4/9 |
| (3/4)^-2 | exact | 16/9 |
| (4/9)^(1/2) | exact | 2/3 |
| (2/3)^(1/2) | approximate | 0.816497 |
Frequently Asked Questions
Sources and References
- Fraction Exponent CalculatorFraction Calculator
- Fraction Exponent CalculatorCalculator Academy
- Fractional ExponentsMath is Fun
- PowerWolfram MathWorld
Calculations are based on the listed reference sources. Links open in a new tab.
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