Rational Exponents Calculator
Our rational exponent's calculator offers accurate calculations for numbers raised to any rational powers, ensuring dependable and intuitive results for various mathematical contexts.
Multiplying256aᵐ × aⁿ = a^8 — add the exponents
Dividing4a^2 — subtract the exponents
Power of a power32,768(aᵐ)ⁿ = a^15 — multiply them
First power alone32
Second power alone8
Negative exponent0.03125a⁻ᵐ is the reciprocal of aᵐ
The rules
| a⁰ | 1, for any non-zero a |
| a¹ | a |
| a⁻ⁿ | 1 ÷ aⁿ |
| a^(1/n) | the nth root of a |
The rule
aᵐ × aⁿ = aᵐ⁺ⁿ, (aᵐ)ⁿ = aᵐⁿ, aᵐ ÷ aⁿ = aᵐ⁻ⁿ