Math foundations

Exponent Calculator

Calculate a base raised to an exponent. Supported nonnegative integer powers use exact BigInt arithmetic; fractional and negative powers use controlled real-number approximations.

Enter values and select Calculate.

Formula and worked example

For base b and exponent n, bⁿ multiplies b by itself n times for positive integer n. A negative exponent uses b⁻ⁿ = 1/bⁿ.

2¹⁰ = 1024, 2⁻³ = 0.125, and (−2)³ = −8. The fractional power 10²·⁵ is approximately 316.227766017.

Zero conventions

Any nonzero base raised to zero equals 1.

Zero to a positive exponent equals 0.

This general-purpose calculator treats 0⁰ as indeterminate and zero to a negative exponent as undefined.

Real-number boundary

A negative base with an integer exponent is valid.

A negative base with a non-integer exponent can leave the real-number domain, so the tool explains the limitation instead of displaying NaN.

Complex arithmetic remains outside this calculator.

Exactness and limits

Integer bases with nonnegative integer exponents use BigInt when the supported result is no more than 10,000 digits.

Other real-number calculations are marked approximate.

Scientific Notation Calculator remains the owner for normalized powers-of-ten notation and arithmetic.

Methodology and limits

This deterministic browser-local tool uses strict complete-value parsing and the displayed mathematical definition. It does not evaluate expressions, execute entered text, call a remote service, or silently cross its documented real-number or integer domain.