Exponent Calculator

Raise a base to a power. Works with positive, negative, zero and fractional exponents.

Reviewed by the WorldCalcs team · Methodology · Last reviewed: June 2026

Result

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What is an exponent?

An exponent, also called a power, tells you how many times to multiply a number, the base, by itself. In 2 to the 5th the base is 2 and the exponent is 5, so it equals 2 x 2 x 2 x 2 x 2 = 32. Exponents are a compact way to write repeated multiplication and are the backbone of scientific notation, compound growth, areas and volumes, and computing. "2 to the power of 10" and "2 raised to the 10th" both mean the same thing.

How to calculate exponents

For a positive whole exponent, multiply the base by itself that many times: 2 to the 10th = 1024. A negative exponent means the reciprocal, so 2 to the power of -3 = 1 divided by 2 cubed = 1 divided by 8 = 0.125. Any non-zero number to the power 0 equals 1. A fractional exponent is a root: 9 to the power 0.5 is the square root of 9, which is 3, and in general a power of 1/n is the nth root. A negative base is fine for whole-number exponents, since (-2) cubed = -8, but a negative base with a fractional exponent has no real result. Three handy rules: multiply same-base powers by adding exponents (2 cubed x 2 to the 4th = 2 to the 7th), divide by subtracting them, and raise a power to a power by multiplying them.

Example

To work out 2 to the 10th, multiply 2 by itself ten times: 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, so the answer is 1024. For a negative exponent, 2 to the power of -3 flips to 1 divided by 8 = 0.125. For a fractional exponent, 9 to the power 0.5 is the square root of 9 = 3.

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Results are estimates and may contain errors — for general information only, not professional advice. Always verify before relying on them. Disclaimer

How to use

Enter the base and the exponent, then read the result. The calculator handles whole-number, negative, and fractional powers.

A negative base with a fractional exponent has no real value and is flagged as undefined. Very large or very small results are shown in scientific notation.

Frequently asked questions

What is 2 to the power of 10?+

It is 2 multiplied by itself ten times, which equals 1024.

What does a negative exponent mean?+

It means the reciprocal of the positive power, so x to the power -n = 1 divided by x to the n. For example 2 to the power -3 = 0.125.

What is any number to the power of 0?+

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

What is a fractional exponent?+

It represents a root: a power of 1/n is the nth root. For example 9 to the power 0.5 is the square root of 9 = 3, and 8 to the power 1/3 is the cube root of 8 = 2. See our Square Root Calculator.

How do I calculate an exponent?+

Multiply the base by itself as many times as the exponent says; this calculator does it instantly for whole, negative and fractional exponents.

Can the base be negative?+

Yes for whole-number exponents, since (-2) cubed = -8, but a negative base with a fractional exponent has no real value.

What is the difference between an exponent and a power?+

"Exponent" is the small raised number, while "power" often refers to the whole expression or is used as a synonym for the exponent.

What is 0 to the power of 0?+

It is generally treated as 1 in algebra and combinatorics, though it is considered undefined in some contexts.

What are the laws of exponents?+

Add exponents when multiplying same-base powers, subtract when dividing, and multiply when raising a power to a power.