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Math

Exponent Calculator

Raise any base to any power — negatives and decimals included

Enter Values

Quick examples

Result

21010242^(10) = 1024
Base2
Exponent10
Expression2 ^ 10
Result1024
Scientific notation1.024e+3

Step-by-step

  1. 12^10 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 1024

Exponent Rules

x⁰ = 1
Any nonzero number raised to the power of 0 equals 1.
x¹ = x
Any number raised to the power of 1 equals itself.
x⁻ⁿ = 1/xⁿ
A negative exponent equals the reciprocal of the positive power.
xᵃ × xᵇ = xᵃ⁺ᵇ
Multiply powers with the same base by adding exponents.
(xᵃ)ᵇ = xᵃᵇ
Raise a power to a power by multiplying exponents.
x^(1/n) = ⁿ√x
A fractional exponent is equivalent to a root.
About

An exponent calculator lets you instantly compute any base raised to any power — from simple integers like 2^10 to tricky cases like negative bases, decimal exponents, and fractional powers (roots). Enter your base and exponent, and this free tool returns the exact result, scientific notation for large values, a step-by-step multiplication breakdown, and a handy reference for the core exponent rules.

FAQ
What does raising a number to a negative exponent mean?+

A negative exponent means you take the reciprocal of the positive power. For example, 2^(-3) = 1 / 2^3 = 1/8 = 0.125. The calculator handles this automatically and shows the working.

Can I use a decimal or fractional exponent?+

Yes. A fractional exponent is equivalent to a root: 9^0.5 equals √9 = 3, and 8^(1/3) equals the cube root of 8 = 2. Enter any decimal value in the exponent field.

Why does a negative base with a decimal exponent produce an error?+

A negative base raised to a non-integer exponent (e.g. (-4)^0.5) yields a complex (imaginary) number that cannot be expressed as a real decimal. The calculator flags this clearly and suggests using an integer exponent instead.

What is 0^0?+

By the most widely used mathematical convention — and IEEE 754 floating-point — 0^0 is defined as 1. This is the value used in combinatorics, power series, and most calculators.

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