Exponents Calculator
Raise a base to an integer power with exact big-integer arithmetic — accurate for exponents up to ±500 with no floating-point rounding or overflow — showing the result in plain and scientific notation at your chosen precision.
Input
A plain decimal number (up to 15 digits before and after the decimal point).
Integer power to raise the base to, from -500 to 500. Negative exponents compute the reciprocal power.
How many significant digits to show in the result.
Output
| Metric | Value |
|---|---|
| No data yet | |
More ways to use this tool
REST API
curl -X POST https://api.iotools.cloud/v1/tool/exponents-calculator \
-H "Authorization: Bearer YOUR_API_KEY" \
-H "Content-Type: application/json" \
-d '{
"base": "2",
"exponent": "10",
"precision": "10"
}'Swap in your own key from your account. The tool's fields are the body — no wrapper.
Ask an AI agent
Use the IOTools `exponents-calculator` tool (Exponents Calculator) on this input:
YOUR_INPUT_HEREPaste this at any agent connected to the IOTools MCP server, then add your input.
Embed widget
<iframe
src="https://iotools.cloud/embed/exponents-calculator/"
width="100%" height="520" frameborder="0" scrolling="no" loading="lazy"
title="Exponents Calculator — iotools.cloud"
sandbox="allow-scripts allow-forms allow-same-origin allow-downloads allow-popups allow-popups-to-escape-sandbox"
allow="clipboard-write"
style="width:100%;border:1px solid #e5e7eb;border-radius:12px;overflow:hidden"></iframe>
<script src="https://iotools.cloud/embed.js" async></script>Drop this into your own page — free, no key required, just a link back.
| Cost per API/MCP call | From 5 credits |
|---|---|
| Need more credits? | View pricing |
Also available with
Guides
The Exponents Calculator raises a base to an integer power using exact big-integer arithmetic — not floating-point math. That means no rounding error and no overflow, even for exponents as large as ±500, where a plain Math.pow call would either lose precision or return Infinity.
How to use it
- Enter the base — any plain decimal number, positive or negative, up to 15 digits before and after the decimal point.
- Set the exponent — an integer from -500 to 500. Negative exponents compute the reciprocal power (
base^-n = 1 / base^n). - Choose a precision — how many significant digits to show in the result (6, 10, 15, 20 or 50).
Results update instantly. The table shows the full expression, the result in plain decimal notation, the same result in scientific notation, and the precision used.
How is this "exact" when floating-point math isn't?
The base is converted to an exact fraction (its digits as a whole number over a power of 10), and that fraction's numerator and denominator are each raised to the exponent separately using BigInt arithmetic — arbitrary-precision whole-number math with no rounding at any step. For a positive exponent this gives the mathematically exact answer; for a negative exponent the resulting fraction is divided out to your chosen number of significant digits (a genuinely irrational-length decimal like 2^-3 still resolves exactly since it terminates, while a non-terminating one is rounded correctly at the digit you asked for).
Why does Math.pow fail at this?
JavaScript numbers are IEEE-754 doubles, which carry about 15-17 significant decimal digits and overflow to Infinity once the magnitude exceeds roughly 1.8 × 10³⁰⁸. 1.5^500, for instance, is about 1.11 × 10⁸⁸ — well within a double's range, but a double can't hold its ~89 exact digits; larger bases at a large exponent overflow outright. Since this tool never touches a floating-point number in the exponentiation step, both problems disappear.
What about 0 raised to a power?
0 to any positive power is 0, and 0^0 is treated as 1 (the standard convention most calculators use). 0 raised to a negative exponent is undefined (it would mean dividing by zero), so the tool rejects that combination with an error instead of guessing.
Is my data private?
Completely. Every calculation runs entirely in your browser. Nothing you type is uploaded, stored or sent to a server, so you can compute as many powers as you like in total privacy.