Exponent Calculator
Calculate any base raised to any exponent — integer, fractional, negative or zero. Handles scientific notation and very large or small results.
Calculate baseexponent
How to use the Exponent Calculator
- Enter your inputs into the Exponent Calculator above.
- Results update instantly as you type — no submit button needed.
- Adjust any value to see how the result changes in real time.
The exponent rules
x^a × x^b = x^(a+b) · · · (x^a)^b = x^(ab) · · · x^(-a) = 1/x^a · · · x^(1/n) = ⁿ√x
Exponents compress repeated multiplication. Negative exponents invert the base. Fractional exponents represent roots. Zero exponent on any non-zero base equals 1.
Worked example
2¹⁰ = 1,024. 5⁻² = 1/5² = 0.04. 8^(1/3) = ∛8 = 2. 1.05²⁰ ≈ 2.6533 (the result of compounding at 5% for 20 periods).
Frequently asked questions
What is 0⁰?
Technically undefined, but commonly treated as 1 in many contexts (combinatorics, binomial expansion). Some calculators return an error; this one returns 1 by convention.
How are very large results displayed?
In scientific notation: 10²⁰ shows as 1e20. The calculator automatically switches to scientific notation for results exceeding ~10¹⁵.
Can I use a calculator for x^(1/2)?
Yes — that's equivalent to √x. The calculator accepts any exponent including fractions, decimals and negatives.