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Exponent Calculator

Raise any number to a power, with every digit of large whole-number results.

Result

Enter your values and select Calculate to see the result.

Runs in your browser — nothing you enter is sent to a server.

How the Exponent Calculator works

Enter a base and an exponent. For whole-number results, such as 2¹⁰⁰, the calculator uses exact integer arithmetic, so every digit is right. Negative exponents give fractions (2⁻² = 0.25) and fractional exponents give roots (160.5 = 4). Very large or small results are also shown in scientific notation.

Formula

a−n = 1 ÷ an; a1/n = ⁿ√a; a0 = 1

Examples

Exact powers

2¹⁰ = 1,024, and 2¹⁰⁰ = 1,267,650,600,228,229,401,496,703,205,376.

Negative and fractional

2⁻² = 0.25; (−8)1/3 = −2.

Frequently asked questions

Why is 0⁰ equal to 1?

By convention in algebra and combinatorics, so formulas such as the binomial theorem work at 0.

Why can't I raise a negative number to 0.5?

That is a square root of a negative number, which isn't a real number. Odd roots such as 1/3 are fine.

How big can the exponent be?

Whole-number exponents up to 10,000 give exact results.

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