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Exponent Calculator

Calculate the power of any base raised to an exponent. Supports negative exponents, fractional exponents, and zero. See step-by-step rules applied.

Quick Facts

Any number to the 0th power1 (except 0⁰)
2¹⁰1,024
Googol10¹⁰⁰
Square root = exponent½

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How to Use This Calculator

  1. Enter the base number (any real number, including negatives and decimals).
  2. Enter the exponent (supports integers, fractions, and negatives).
  3. Click Calculate to see the result with rules and step-by-step breakdown.

The Formula

aⁿ = a × a × ... × a (n times). Special rules: a⁰ = 1 (a ≠ 0), a¹ = a, a⁻ⁿ = 1/aⁿ, a^(1/n) = ⁿ√a.

Frequently Asked Questions

0⁰ is mathematically undefined (indeterminate). Different mathematical contexts assign it different values — in combinatorics it is treated as 1, but in analysis it is left undefined. This calculator treats it as undefined.