Calculate numbers raised to fractional exponents - perfect for roots and powers in one operation.
Fraction exponent calculator
How fractional exponents work
A fractional exponent like xa/b combines two operations: raising x to the power a, then taking the b-th root (or vice versa - the result is the same). So 82/3 means "cube root of 8 squared" or equivalently "the cube root of 8, then squared."
The denominator determines the root (2 = square root, 3 = cube root, etc.) while the numerator is the power. Negative exponents flip the fraction - x-1/2 is the same as 1/sqrt(x).
Using this calculator
Enter your base number and fractional exponent. The calculator shows results in real-time with a step-by-step breakdown. Even roots of negative numbers will show as undefined (those produce complex numbers).
