Raise any fraction to a positive, negative, or zero exponent. Enter the fraction and exponent to see step-by-step computation with visual diagrams.
A Fraction Exponent Calculator raises a fraction to an integer power by raising both the numerator and denominator to that power independently.
Fraction exponents are used in compound interest calculations, probability (independent events), scientific notation, physics formulas, and algebra. Understanding how to raise fractions to powers is fundamental to higher mathematics.
Key rules: (a/b)⁰ = 1, (a/b)¹ = a/b, (a/b)⁻ⁿ = (b/a)ⁿ.
(a/b)ⁿ = aⁿ / bⁿ
Rules:
Example: (2/3)⁴ = 2⁴/3⁴ = 16/81 = 16/81
Example: (3/4)⁻² = (4/3)² = 16/9 = 1 7/9
2³/3³ = 8/27. Result: 8/27.
3²/4² = 9/16. Result: 9/16.
1⁵/2⁵ = 1/32. Result: 1/32.
Flip: (5/2)² = 25/4 = 6 1/4. Result: 25/4.
Common questions about the fraction exponent calculator.
Raise both the numerator and denominator to the power separately: (a/b)ⁿ = aⁿ/bⁿ. Example: (3/5)² = 9/25.
Any non-zero number raised to the power of 0 equals 1. Example: (7/8)⁰ = 1.
A negative exponent means flip the fraction and use the positive exponent. Example: (2/3)⁻² = (3/2)² = 9/4.
Yes. After computing aⁿ/bⁿ, always check if the result can be simplified. Example: (2/4)² = 4/16 = 1/4.
This calculator handles integer exponents. Fractional exponents (like (4/9)^(1/2)) involve roots and produce irrational results in most cases.