Exponent (Power) Calculator
Raise any base to any power, including negative and fractional exponents.
Results update as you type.
About this calculator
An exponent calculator raises a base to a power — repeated multiplication of the base by itself. Enter the base and the exponent and it returns the result, the value in scientific notation when it is very large or small, and, for small whole exponents, the expanded multiplication so you can see where the answer comes from.
A whole exponent means "multiply the base by itself this many times": 2^10 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 1024. Any non-zero base to the power 0 is 1, and to the power 1 is the base itself. A negative exponent is the reciprocal of the positive power — 2^−3 = 1 ÷ 2^3 = 1/8 = 0.125 — and a fractional exponent is a root, so 8^(1/3) is the cube root of 8, which is 2.
Exponents underpin compound interest, scientific notation, area and volume scaling, exponential growth and computer science. A negative base raised to an even exponent is positive and to an odd exponent is negative: (−2)^3 = −8 but (−2)^4 = 16.
Frequently asked questions
What does a negative exponent mean?
A negative exponent is the reciprocal of the positive power. 2⁻³ = 1 ÷ 2³ = 1/8 = 0.125.
What is a fractional exponent?
A fractional exponent is a root: x^(1/2) is the square root of x, and x^(1/3) is the cube root. So 8^(1/3) = 2.
What is any number to the power of zero?
Any non-zero base raised to the power 0 equals 1. Raising to the power 1 gives the base unchanged.
What is 2 to the 10th power?
Multiply 2 by itself ten times: 2^10 = 1024. That is the default example this tool shows.
Can the base be negative?
Yes. A negative base with an even exponent is positive and with an odd exponent is negative: (−2)^4 = 16 but (−2)^3 = −8.
How are very large powers displayed?
They are also shown in scientific notation for readability — for instance 2^40 is about 1.0995 × 10^12.
API — use this calculator from code
Call this calculator as a free JSON endpoint — no key required. Send the field values below as query parameters or JSON. Read the full API docs →
Endpoint
GET https://calculator.free/api/v1/exponent/curl
curl "https://calculator.free/api/v1/exponent/?base=2&exponent=10"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/exponent/?" + new URLSearchParams({
"base": "2",
"exponent": "10"
}));
const data = await r.json();
console.log(data.results);Results are estimates for general guidance only, not financial, medical or tax advice.