^ Exponent Calculator
Calculate powers and exponents (x^n)
How Exponent Calculation Works
Formula
x^n = x × x × x × ... (n times)
- 1Enter the base number (x) and the exponent (n).
- 2For positive integer exponents: multiply the base by itself n times.
- 3For negative exponents: x^(−n) = 1 / x^n.
- 4For fractional exponents: x^(a/b) = ᵇ√(xᵃ).
- 5The result is displayed with step-by-step expansion.
About Exponent Calculator
Calculate powers and exponents (x^n). Supports integers, decimals, negative exponents, and fractional exponents. Shows step-by-step calculation and exponent rules reference.
Frequently Asked Questions
What is x^0?
Any non-zero number raised to the power of 0 equals 1. This is a mathematical convention that keeps exponent rules consistent. For example, 5^0 = 1, 100^0 = 1. Note: 0^0 is undefined in some contexts.
What is a negative exponent?
A negative exponent means the reciprocal. x^(−n) = 1/x^n. For example, 2^(−3) = 1/2³ = 1/8 = 0.125. It does not make the result negative.
What is a fractional exponent?
A fractional exponent represents a root. x^(1/2) = √x, x^(1/3) = ∛x. More generally, x^(a/b) = ᵇ√(xᵃ). For example, 8^(2/3) = ∛(8²) = ∛64 = 4.