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Exponent Calculator

Free exponent calculator — compute base raised to any power including negative and decimal exponents instantly.

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Exponent Calculator

Exponent Calculator

Base raised to any exponent

Result

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Power
Base
Exponent
Formula

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Real-Life Examples

The Formula Behind It

result = base^exponent

Variables

  • result = base^exponent

How It Works

  1. Enter the base number.
  2. Enter the exponent (positive, negative, or decimal).
  3. View the result instantly.

About Exponent Calculator

The Exponent Calculator computes base raised to any exponent — positive integers, negative powers, and decimal exponents. Essential for scientific notation, compound growth, computer science (binary powers), and algebra.

Exponent Rules

Negative exponents: b⁻ⁿ = 1/bⁿ. Zero exponent: b⁰ = 1 (for b ≠ 0). Fractional exponents: b^(1/n) = ⁿ√b. Product rule: bᵐ × bⁿ = b^(m+n).

For square roots specifically, use the Square Root Calculator. For compound growth over time, see Compound Interest Calculator. For percentage-based growth, use the Percentage Calculator.

Frequently Asked Questions

What is an exponent?

An exponent shows how many times a base number is multiplied by itself. 2³ = 2 × 2 × 2 = 8.

What does a negative exponent mean?

A negative exponent means take the reciprocal. 2⁻³ = 1/2³ = 1/8 = 0.125.

What is anything to the power of zero?

Any non-zero number raised to the power of 0 equals 1. 5⁰ = 1.

Can I use decimal exponents?

Yes. Decimal exponents represent roots and powers combined. 9^0.5 = √9 = 3.

What is the difference between power and exponent?

In bⁿ, b is the base and n is the exponent. The result bⁿ is called the power.

How large can results get?

Very large exponents may produce Infinity. Use reasonable values for practical calculations.