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MATH

Exponent Calculator

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Raise a base to a power with clear handling of zero and negative bases.

Your inputs

Example values are shown. Edit them for your calculation.

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Your result

MATH

Enter your values and select calculate.

On this page How it works & practical examples

How to use the Exponent Calculator

The base is the number being raised and the exponent determines the power. Positive integer exponents represent repeated multiplication. A negative exponent takes the reciprocal of the corresponding positive power. Decimal exponents are supported for non-negative bases using real-valued floating-point arithmetic. Enter a negative base directly rather than adding parentheses or an expression.

The calculation

Power = base^exponent; base^(−n) = 1/base^n when base ≠ 0

Worked example

2^10 is 1,024. 2^−3 is 0.125. A negative base raised to an odd integer stays negative, while an even integer produces a positive result.

Assumptions and limits

The calculator leaves 0^0 undefined by convention, rejects zero raised to a negative exponent, and accepts only integer exponents for a negative base. Some negative-base fractional powers can be defined through particular rational interpretations, but this page does not infer those representations. Non-finite numerical results are rejected instead of displaying infinity.

Common questions

Why is 0^0 rejected?

Its interpretation depends on context. This calculator chooses to leave it undefined rather than silently applying a programming convention.

Can I calculate a negative exponent?

Yes, as long as the base is non-zero. For example, 10^−2 is 0.01.

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