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Exponent Calculator

Calculate powers and exponents — base raised to any exponent, including fractions and negatives.

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What is Exponent Calculator?

An exponent calculator computes the result of raising a base number to any power, including negative exponents, fractional exponents (roots), and zero. Exponentiation is fundamental in algebra, science, finance (compound interest), and computer science (binary powers).

How to use

  1. 1 Enter the base number in the 'Base' field.
  2. 2 Enter the exponent in the 'Exponent' field — decimals and negatives are supported.
  3. 3 The result appears inline next to the equals sign and in the detailed result panel below.
  4. 4 The powers table at the bottom shows base raised to powers 1 through 12 for quick reference.

Formula

Result = base ^ exponent (base raised to the power of exponent). Special cases: x⁰ = 1 for any x ≠ 0; x⁻ⁿ = 1 / xⁿ; x^(1/n) = the nth root of x.

Example calculation

2 raised to the power of 10 equals 1024. For a fractional exponent, 8^(1/3) = 2 (the cube root of 8). For a negative exponent, 2^(-3) = 1/8 = 0.125.

Frequently asked questions

What does a negative exponent mean?

A negative exponent means the reciprocal. x^(-n) = 1 / x^n. For example, 2^(-3) = 1/2³ = 1/8 = 0.125.

What is a fractional exponent?

A fractional exponent represents a root. x^(1/2) is the square root, x^(1/3) is the cube root, and x^(m/n) is the nth root of x raised to the m.

What is anything raised to the power of 0?

Any non-zero number raised to the power of 0 equals 1. This is a fundamental rule of exponents: x⁰ = 1 for x ≠ 0.

Can I calculate very large exponents?

Yes, but very large results are displayed in scientific notation (e.g., 1.234567e+20) to keep them readable.

What is the difference between exponent and power?

The terms are often used interchangeably. In the expression 2³, 2 is the base, 3 is the exponent, and the entire expression (value = 8) is called the power.