Fraction Exponents Calculator
Find the value of any base raised to a fraction. This tool calculates both the root and the power simultaneously for accurate results.
What is a fraction exponent?
A fractional exponent is an exponent that is a rational number. It represents a power and a root. For x^(a/b), "a" is the power and "b" is the root. Example: x^(1/2) is the square root of x.
How do you solve x^(a/b)?
You can solve it in two ways: 1) Find the b-th root of x and then raise the result to the a-th power. 2) Raise x to the a-th power and then find the b-th root. Both will give the same answer.
What is 8^(2/3)?
The denominator 3 means take the cube root of 8, which is 2. Then raise 2 to the power of the numerator 2, which equals 4.
Can you have a negative fractional exponent?
Yes! x^(-a/b) is the same as 1 / x^(a/b). You calculate the fractional power normally and then take the reciprocal.