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Math & Numbers Runs in browser Updated 30 Mar 2026

Exponent & Power Calculator

Calculate any base raised to any power, including negative and fractional exponents, with scientific notation and power rules reference.

Standard

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Scientific Notation

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Enter a base and exponent to see the result.

xᵃ × xᵇ = xᵃ⁺ᵇMultiplying same base: add exponents
(xᵃ)ᵇ = xᵃᵇPower of a power: multiply exponents
xᵃ / xᵇ = xᵃ⁻ᵇDividing same base: subtract exponents
(xy)ᵃ = xᵃ × yᵃPower of a product: distribute the exponent
x⁰ = 1Any non-zero number to the power of 0 is 1
x⁻ⁿ = 1 / xⁿNegative exponent: take the reciprocal
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How to use Exponent & Power Calculator

  1. Enter the base

    Type the base number (x) into the first field. Decimals and negatives are supported.

  2. Enter the exponent

    Type the exponent (n) into the second field. Use decimals for fractional exponents (e.g. 0.5 for square root).

  3. Read the result

    The result x^n appears instantly in both standard form and scientific notation.

  4. Review the power rules

    Expand the Power Rules reference card to see key laws including product, quotient, and negative exponent rules.

  5. Explore edge cases

    Try x = 0, n = 0, or negative bases to see how the calculator handles special cases.

Exponent & Power Calculator FAQ

How do I calculate an exponent?
Enter the base and the exponent. The calculator computes x^n, which is x multiplied by itself n times for positive integers.

What is a negative exponent?
A negative exponent produces a reciprocal: x^(-n) = 1 / x^n. For example, 2^(-3) = 1/8 = 0.125.

What is a fractional exponent?
A fractional exponent represents a root: x^(1/n) is the nth root of x. For example, 8^(1/3) = 2 (cube root of 8).

What does x^0 equal?
Any nonzero number raised to the power of 0 equals 1. This follows from the quotient rule: x^n / x^n = x^(n-n) = x^0 = 1.

What is 0^0?
By convention, 0^0 = 1 in most mathematical and computing contexts, though it is technically indeterminate in analysis.

Why does the result show scientific notation?
Scientific notation is used for very large or very small results to avoid displaying hundreds of digits.

Can I calculate roots using this tool?
Yes. A square root is x^0.5, a cube root is x^(1/3). For a dedicated root interface, use the Square Root Calculator.

What are the power rules?
Key rules: x^a × x^b = x^(a+b); x^a / x^b = x^(a-b); (x^a)^b = x^(ab); x^(-n) = 1/x^n; x^0 = 1.

Can I use decimal bases?
Yes. Enter any real number as the base, including decimals and negatives.

Is any data sent to a server?
No. All calculations run entirely in your browser. Nothing is uploaded or stored.

Background

Calculate any exponent or power with support for the full range of exponent types. Enter a base and exponent to get the result with both standard and scientific notation output — essential when working with very large or very small numbers. Handles negative exponents (which produce reciprocals), fractional exponents (which produce roots), and the edge case of zero. A collapsible power rules reference card lists the key laws: product rule, quotient rule, power of a power, negative exponents, and zero exponent — making this tool useful for learning, not just calculating. Suited for students in algebra, pre-calculus, and physics, as well as engineers and developers working with scientific notation. No sign-up, no downloads, and all processing runs entirely in your browser.

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