math

Exponent

A number that indicates how many times a base number is multiplied by itself (e.g., 2³ = 2×2×2 = 8).

An exponent (or power) tells you how many times to use a number in multiplication. In the expression a^n, "a" is the base and "n" is the exponent.

Key Rules

  • a^m × a^n = a^(m+n)
  • a^m / a^n = a^(m−n)
  • (a^m)^n = a^(m×n)
  • a^0 = 1 (any non-zero number)
  • a^(−n) = 1/a^n

Fractional Exponents

a^(1/2) = √a (square root). a^(1/3) = ∛a (cube root). a^(m/n) = ⁿ√(a^m).

Related Calculators

Related Terms