Exponent Calculator

Calculate powers, roots, and exponential growth instantly.

The number to be multiplied.
How many times to multiply the base.
Power Result (xy)
--
23 = 8
N-th Root (y√x)
--
3√8 = 2

Power Progression Table

See how -- grows as it is raised to higher powers.

Exponent (n) Calculation Result

Understanding Exponents and Roots

Exponentiation is a mathematical operation involving two numbers, the base and the exponent. It is written as $x^y$ and is read as "x to the power of y".

Power ($x^y$)

The exponent represents how many times the base is used as a factor in multiplication.

Example: 23 = 2 × 2 × 2 = 8

Roots ($\sqrt[y]{x}$)

A root is the inverse operation of exponentiation. The N-th root of a number x is a number r which, when raised to the power n, equals x ($r^n = x$).

Example: 3√8 = 2 (because 2 × 2 × 2 = 8)

Special Cases

  • Exponent 0: Any non-zero number raised to the power of 0 is 1.
  • Exponent 1: Any number raised to the power of 1 is itself.
  • Negative Exponents: $x^{-n}$ is equal to $1/x^n$. For example, $2^{-3} = 1/8 = 0.125$.