Exponent Calculator
MathematicsCalculate base numbers raised to positive, negative, and fractional powers (xʸ). Evaluate exponential growth, power laws, and reciprocal powers instantly.
About this calculator
Exponents describe natural phenomena characterized by rapid multiplication or radioactive decay, from bacterial population growth and compound interest to acoustic decibels and seismology.
This calculator handles integer exponents, negative powers (which represent reciprocals: x⁻ⁿ = 1/xⁿ), and fractional exponents (which represent radical roots: x^(m/n) = ⁿ√(xᵐ)).
How It Works & Formula
For positive real bases, evaluation uses base-e exponential transformation xʸ = exp(y × ln(x)). For negative integer bases, signs flip based on whether the exponent is even or odd.
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