Exponent Calculator
Raise a base to any exponent, including negative and fractional powers.
- 1
Base and exponent
a = 2, n = 10 - 2
Evaluate aⁿ
2 ⁿ (n = 10) = 1,024
Formula
How this is calculated
This calculator takes two inputs: the base (a), the number being multiplied, and the exponent (n), which says how many times to use the base as a factor. With a whole, positive exponent the result is simply a multiplied by itself n times, so 2¹⁰ = 2 × 2 × … × 2 (ten twos) = 1024. The base and exponent can each be any real number, including negatives and decimals.
Internally the value is computed with the standard power function rather than repeated multiplication, so it handles non-integer cases consistently. A negative exponent is interpreted as a reciprocal (a⁻ⁿ = 1 ⁄ aⁿ), and a fractional exponent as a root (a^(1/n) is the nth root of a). By convention any nonzero base to the power 0 equals 1.
The arithmetic uses 64-bit floating-point numbers, so results are exact for modest values but rounded to about 15 significant digits for large or irrational outcomes. Some combinations are mathematically undefined or exceed the representable range — for example the even root of a negative base, or a result larger than roughly 1.8 × 10³⁰⁸ — and these are flagged as out of range rather than shown.
About this calculator
Exponentiation means multiplying a base by itself a number of times equal to the exponent. For example, 2⁵ = 2 × 2 × 2 × 2 × 2 = 32. Negative exponents give reciprocals (a⁻ⁿ = 1/aⁿ) and fractional exponents give roots (a^(1/n) is the nth root of a).
This calculator evaluates the power using high-precision floating-point arithmetic. Very large results may exceed the range of representable numbers and will be flagged as out of range.
Frequently asked questions
A negative exponent represents a reciprocal: a⁻ⁿ equals 1 divided by aⁿ. For example, 2⁻³ = 1/8 = 0.125.
Any nonzero number raised to the power 0 equals 1. The expression 0⁰ is generally treated as 1 by most calculators.
Yes. A fractional exponent represents a root, so 9^(1/2) equals the square root of 9, which is 3.
Also known as
TG we-Calculate Editorial Team. (2026). Exponent Calculator [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/exponent-calculator
TG we-Calculate Editorial Team. "Exponent Calculator." TG we-Calculate. 2026. https://we-calculate.com/calculator/exponent-calculator.
TG we-Calculate Editorial Team, "Exponent Calculator," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/exponent-calculator
@misc{wecalculate_exponent_calculator, title = {Exponent Calculator}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/exponent-calculator}}, year = {2026}, note = {TG we-Calculate} }
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