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Exponent Calculator

Compute aⁿ with positive, negative and fractional exponents.

Best for: Compound interest and growth, scientific notation, geometry, and simplifying powers in algebra.

Complete guide

Input

How it's calculated & sources
The Exponent Calculator uses the standard, deterministic formula, so the same inputs always produce the same result. It runs entirely in your browser, so your inputs are never uploaded. Last reviewed June 2026.

Free & no sign-up · runs entirely in your browser. Results are estimates for general information, not professional advice — verify important decisions with a qualified expert. Last reviewed June 2026.

How it works

aⁿ = a × a × … × a (n times). Supports negative and fractional exponents.

Example

2^10 = 1024

Frequently asked questions

What is a⁰?+

Any non-zero number to the power 0 equals 1.

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Complete guide

Quick answers

Short, sourced answers to the questions people (and AI assistants) ask most.

What is Exponent?
An exponent calculator raises a base to a power, including zero, negative and fractional exponents.
Why does Exponent matter?
The base grown (or shrunk) by the power — the engine behind compound growth, scientific notation and area/volume scaling.
How is Exponent calculated?
b^n means multiply b by itself n times. By the rules of exponents, b^0 = 1, a negative power is a reciprocal (b^-n = 1 / b^n), and a fractional power is a root (b^(1/n) is the nth root of b).
What are common exponent mistakes?
Applying multiplication before the exponent — powers are evaluated first.
When should you use the Exponent Calculator?
Compound interest and growth, scientific notation, geometry, and simplifying powers in algebra.

What is the Exponent Calculator?

An exponent calculator raises a base to a power, including zero, negative and fractional exponents.

How the Exponent Calculator works

b^n means multiply b by itself n times. By the rules of exponents, b^0 = 1, a negative power is a reciprocal (b^-n = 1 / b^n), and a fractional power is a root (b^(1/n) is the nth root of b).

Powers of two: 2ⁿ for n = 0 to 20

2^01
2^12
2^24
2^38
2^416
2^532
2^664
2^7128
2^8256
2^9512
2^101,024
2^112,048
2^124,096
2^138,192
2^1416,384
2^1532,768
2^1665,536
2^17131,072
2^18262,144
2^19524,288
2^201,048,576

Worked example

2^10 = 1024 2^-1 = 0.5 9^(1/2) = 3 (the square root of 9)

Common mistakes to avoid

  • Applying multiplication before the exponent — powers are evaluated first.
  • Expecting a real result from a negative base with a fractional exponent (it can be complex).
  • Assuming 0^0 has one universal value — its definition depends on context.

Keywords: exponent, power.

Sources: Khan Academy — Exponents

Reviewed by the Free Tools Galaxy editorial team · Updated June 2026 · Calculated privately in your browser.

Frequently asked questions

Is the Exponent Calculator free to use?+

Yes. Every tool on Free Tools Galaxy is 100% free, runs in your browser and requires no signup.

How accurate is the Exponent Calculator?+

Exponent Calculator uses the standard exponent formula in double-precision arithmetic, so the same inputs always produce the same result and you can verify any figure by hand. It is an educational estimate — real-world outcomes depend on your actual rates, rules and assumptions.

Do you store my inputs?+

No. The Exponent Calculator runs entirely in your browser. Nothing is uploaded or saved to a server.

Can I use the Exponent Calculator on mobile?+

Yes — the interface is fully responsive and works on phones, tablets and desktops.

What are common mistakes to avoid?+

The most frequent mistake is mixing units. Double-check your inputs use a single, consistent unit before clicking Calculate.

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# Exponent Calculator — the free tool I keep coming back to

Compute aⁿ with positive, negative and fractional exponents.

Try it: https://freetoolsgalaxy.com/tools/exponent-calculator
Quora answer
The fastest way is to use a free in-browser exponent calculator: https://freetoolsgalaxy.com/tools/exponent-calculator. Compute aⁿ with positive, negative and fractional exponents.

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