Calculate any base raised to any power, including negative, fractional, and decimal exponents. Solve exponential equations, powers of ten, and math problems instantly with step-by-step explanations.
Exponents represent the number of times a base number is multiplied by itself. Our free online Exponent Calculator makes it easy to calculate any base raised to any power. It handles standard positive integers, negative exponents, fractional exponents, and decimal exponents, providing instant calculations.
The formula for basic exponents is y = x^n, where x is the base and n is the exponent. For negative exponents, the formula is x^-n = 1 / x^n. For fractional exponents, the base is raised to the root of the denominator, such as x^(1/2) = √x. This tool solves complex power equations instantly.
Any non-zero base raised to the power of 0 is always equal to 1. For example, 5^0 = 1, and 100^0 = 1.
To calculate a negative exponent, take the reciprocal of the base and raise it to the positive exponent. For example, 2^-3 is equal to 1 / (2^3) = 1/8 = 0.125.
A fractional exponent represents a root. An exponent of 1/2 represents the square root, and an exponent of 1/3 represents the cube root. For example, 8^(1/3) is the cube root of 8, which is 2.
To multiply terms with the same base, keep the base and add the exponents together. For example, x^a * x^b = x^(a + b).