Exponent Calculator
Calculate the result of a base raised to any power (exponent). Supports negative and fractional exponents.
Inputs
Results
Exponent Rules
Key exponent rules: b⁰ = 1 (for any b≠0) | b¹ = b | b⁻ⁿ = 1/bⁿ | bᵐ × bⁿ = bᵐ⁺ⁿ | (bᵐ)ⁿ = bᵐⁿ. Fractional exponents represent roots: b^(1/2) = √b.
What is the Exponent Calculator?
The Exponent Calculator handles the mathematical operation of raising a base number to a specific power. Exponentiation is how scientists describe exponential growth, decay, and the massive numbers found in astronomy.
How It Works (Algorithm)
In the expression $x^y$, the number $x$ is multiplied by itself $y$ times. If the exponent is negative, the result becomes a fraction ($1 / x^y$). If the exponent is a decimal or fraction, the calculator utilizes root functions to solve it.
$$ x^{-n} = \frac{1}{x^n} \quad \text{and} \quad x^{\frac{1}{n}} = \sqrt[n]{x} $$
The algebraic rules for negative and fractional exponents.
How to Use It
Enter your base number. Next, enter the exponent. Click calculate, and the tool will instantly run the multiplication or root algorithm, outputting both the precise fraction and the expanded decimal answer.