Exponent Calculator

A negative exponent means the reciprocal of the positive power, so x to the power −n equals 1 ⁄ xⁿ. That makes 2⁻² = 1 ⁄ 2² = 0.25, and 10⁻³ = 0.001. The calculator handles negative exponents automatically, including fractional ones. Zero is the exception: 0 raised to a negative power is undefined, because it would divide by zero.

A fractional exponent is a root: x to the power 1/n is the nth root of x, and x to the power m/n is that root raised to the power m. Raising 9 to the power 0.5 gives 3, and raising 8 to the power 1/3 gives 2. The combined form works the same way, so 8 to the power 2/3 is 2² = 4. Fractional powers of a negative base are only real when the denominator of the fraction is odd.

Any non-zero number raised to the power 0 equals 1, so 5⁰ = 1 and (−3)⁰ = 1. The rule follows from the division law xᵐ ⁄ xᵐ = xᵐ⁻ᵐ = x⁰, and any non-zero number divided by itself is 1. The case 0⁰ is left undefined in most contexts, though it is often taken as 1 in combinatorics and power series. Zero raised to a negative power is undefined, because that divides by zero.

Nothing you type is sent anywhere. The exponent calculator runs entirely in your browser with JavaScript, so the base and power you enter never leave your device. There is no account, no upload step and nothing is logged. The page keeps working offline once it has loaded.