Free online calculator

Exponent Calculator

Calculate powers by entering a base and exponent. The calculator supports positive, negative and decimal exponents and shows expanded multiplication for manageable positive integer powers.

210

Result1,024
Expanded multiplication

2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

How to use the Exponent Calculator

  1. Enter the base value.
  2. Enter the exponent or power.
  3. The calculator evaluates base raised to the exponent.
  4. A positive integer exponent represents repeated multiplication of the base.
  5. A negative exponent represents the reciprocal of the corresponding positive power. Decimal exponents can represent roots and other fractional powers when a real result exists.

Examples

2 to the 10th power

2¹⁰ equals 1,024 because 2 is multiplied by itself ten times.

5 to the power of zero

5⁰ equals 1. Any nonzero number raised to the zero power equals 1.

2 to the power of −3

2⁻³ equals 1 divided by 2³, which is 1/8 or 0.125.

Frequently asked questions

What is an exponent?

An exponent indicates a power. For positive whole-number exponents, it tells how many times the base is used as a factor.

What does a negative exponent mean?

A negative exponent means take the reciprocal of the corresponding positive power. For example, 2⁻³ equals 1/2³.

What does an exponent of zero mean?

Any nonzero base raised to the zero power equals 1.

Can exponents be decimals?

Yes. Decimal or fractional exponents can represent roots and powers, although some negative-base combinations do not have real-number results.

What is the difference between a base and an exponent?

The base is the number being raised to a power. The exponent specifies that power.

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