Rational Exponents Calculator

Evaluate x^(p/q), a power with a fractional exponent.

x^(p/q) 4

Formula: x^(p/q) = (q-th root of x)^p

Step-by-step with your numbers:

1. Values used:

2. Base x = 8

3. Numerator p = 2

4. Denominator q = 3

6. x^(p/q) = Base x / Numerator p = 8 / 2 = 4

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A rational (fractional) exponent combines a power and a root.

The math behind it

x^(p/q) = (the q-th root of x) raised to the p. The denominator is the root; the numerator is the power.

8^(2/3) = (∛8)² = 2² = 4.

What does a negative rational exponent mean?

It takes the reciprocal: x^(−p/q) = 1 ÷ x^(p/q).