Fractions with Powers Calculator
Calculate fractions raised to any power. Simplify expressions like (a/b)^n with step-by-step explanations.
Denominator cannot be zero
Positive, negative, or fractional exponents
Result
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Original Expression
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Summary
| Power Rule: | - |
| GCD (Reduced): | - |
Step-by-Step Solution
Enter a fraction and exponent, then click "Calculate" to see the step-by-step solution.
Fraction Power Rules
- (a/b)^n = a^n / b^n
- (a/b)^-n = (b/a)^n
- (a/b)^(p/q) = (a^p)^(1/q) / (b^p)^(1/q)
- (a/b)^0 = 1 (for a ≠ 0, b ≠ 0)
- (a/b)^1 = a/b
Special Cases
- Negative exponent: Flip the fraction
- Fractional exponent: Take root first or power first
- Even exponent: Result is positive
- Odd exponent: Result keeps original sign
- Exponent 0: Result = 1 (if fraction ≠ 0)
Common Examples
- (2/3)² = 4/9
- (1/2)⁻³ = 8
- (4/9)¹ᐧ⁵ = 2/3
- (-2/3)³ = -8/27
- (a/b)ⁿ × (a/b)ᵐ = (a/b)ⁿ⁺ᵐ