Fraction Exponent Calculator
Calculate the result of a base raised to a fractional exponent. Enter base, numerator, and denominator to compute the root and power.
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How to use this tool?
This calculator computes a^(m/n), i.e., a base raised to a fractional exponent.
- Enter the Base (a) – any real number (e.g., 8).
- Enter the Numerator (m) – the top of the fraction (e.g., 2).
- Enter the Denominator (n) – the bottom of the fraction, must be ≥ 1 (e.g., 3).
- Click Calculate.
Result: Shows the computed value (rounded to 6 decimals) and the formula used.
Important notes:
- Denominator cannot be zero.
- If the base is negative and the denominator is even, the result is not a real number (error shown).
- All inputs accept decimals.
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Frequently Asked Questions
A fraction exponent like a^(m/n) means the n-th root of a raised to the m-th power, or equivalently (a^(1/n))^m.
Enter the base, numerator, and denominator. Click Calculate to see the result and the formula used.
Denominator must be non-zero. The calculator will show an error if you enter zero.