Exponent Calculator

Calculate Power

Quick Examples

2¹⁰

Power of 2

10^-3

Negative exponent

16^1/2

Square root

27^1/3

Cube root

8^2/3

Fractional power

5⁰

Zero exponent

e¹

Euler's number

2^0.5

Decimal exponent

Exponent Rules

Basic Power Rule

bⁿ = b × b × b × ... (n times)

Multiply the base by itself n times.

Zero Exponent

b⁰ = 1 (for any b ≠ 0)

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

Negative Exponent

b^-n = 1 / bⁿ

A negative exponent means take the reciprocal.

Example: 2^-3 = 1/2³ = 1/8 = 0.125

Fractional Exponent

b^m/n = ⁿ√(b^m) = (ⁿ√b)^m

A fractional exponent represents a root. The denominator is the root index, the numerator is the power.

Example: 8^2/3 = ∛(8²) = ∛64 = 4

Special Bases

Base	Value	Common Uses
e (Euler's number)	≈ 2.71828...	Natural growth, compound interest
10	10	Scientific notation, decibels
2	2	Binary, computing, data sizes

💡 Tip: Enter "e" as the base to use Euler's number (≈ 2.71828). For fractional exponents, you can enter either "1/2" or "0.5".

Powers of 2 Reference

Exponent	Value	Common Name
2⁰	1	—
2¹	2	—
2⁸	256	1 byte of values
2¹⁰	1,024	1 KB (kilobyte)
2¹⁶	65,536	16-bit max
2²⁰	1,048,576	1 MB (megabyte)
2³⁰	1,073,741,824	1 GB (gigabyte)
2³²	4,294,967,296	32-bit max
2⁴⁰	1,099,511,627,776	1 TB (terabyte)

Privacy & Limitations

All calculations run entirely in your browser -- nothing is sent to any server.
Results are computed using standard formulas and should be verified for critical applications.

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Exponent Calculator FAQ

What is Exponent Calculator?

Exponent Calculator is a free math tool that helps you Calculate powers with negative and fractional exponents.

How do I use Exponent Calculator?

Enter your input values, review the calculated output, and adjust inputs until you reach the result you need. The result updates in your browser.

Is Exponent Calculator private?

Yes. Calculations run locally in your browser. Inputs are not uploaded to a server by default, and refreshing the page clears session data.

Does Exponent Calculator require an account or installation?

No. You can use this tool directly in your browser without sign-up or software installation.

How accurate are results from Exponent Calculator?

This tool applies standard formulas or deterministic processing logic for estimates. For medical, legal, tax, or investment decisions, verify with a qualified professional.

Can I save or share outputs from Exponent Calculator?

You can bookmark this page and copy outputs manually. Results are not persisted in your account and are typically not embedded in the URL.