Exponent Calculator
Raise any base to any power, including negative and fractional exponents.
How to use this calculator
- Enter the base (the number being multiplied).
- Enter the exponent (how many times it is multiplied by itself).
- Negative and fractional exponents are supported where the result is a real number.
The formula
bⁿ = b × b × … × b (n times)- b
- Base
- n
- Exponent — negative n means 1 ÷ b^|n|; fractional p/q means the q-th root of b^p
How it works
Exponentiation is repeated multiplication: 2¹⁰ doubles ten times, giving 1,024.
A negative exponent flips the base into a denominator: 2⁻³ = 1/8 = 0.125. A fractional exponent is a root: 9^0.5 = √9 = 3.
Worked example
Calculate 2^10 (how many times something doubles over ten steps).
- 12^10 = 2 × 2 × … × 2 (ten factors)
- 2= 1,024
2^10 = 1,024.
When this calculator is useful
- Compound growth intuition
- Scientific notation arithmetic
- Computer memory sizes (powers of 2)
- Geometry (areas scale with length²)
Frequently asked questions
What is any number to the power of 0?
Any non-zero base to the power 0 equals 1. (0^0 is treated as 1 here by convention, though it is sometimes left undefined in pure mathematics.)
What does 10^−2 mean?
1 ÷ 10² = 0.01.