Exponent Calculator

An Exponent (or power) represents repeated multiplication of a number by itself. In the expression bⁿ, **b** is the base and **n** is the exponent. It tells you to multiply *b* by itself *n* times.

For example, 2³ = 2 × 2 × 2 = 8. Exponents are essential for expressing very large or very small numbers (Scientific Notation), measuring area (units²) and volume (units³), and modeling growth (compound interest) or decay (radioactive half-life).

Special rules apply: a negative exponent means taking the reciprocal (x⁻ⁿ = 1/xⁿ), and any non-zero number raised to the power of 0 equals 1. Fractional exponents represent roots (x½ = √x).

This tool handles positive, negative, and zero exponents, showing the step-by-step logic whether it's repeated multiplication or reciprocal division.