Fractional Exponent Calculator

Formula

The formula to calculate the value of a number raised to a fractional exponent is:

\[ B = x^{\frac{d}{e}} \]

Where:

B is the value of the equation
x is the base number to be raised
d is the numerator of the exponent
e is the denominator of the exponent

What is a Fractional Exponent?

A fractional exponent is an exponent that is displayed and calculated using a fraction of some whole number. It represents the power to which a number is raised, where the numerator is the power and the denominator is the root.

Example Calculation

Let's assume the following values:

Base Number (x): 8
Numerator of Exponent (d): 1
Denominator of Exponent (e): 3

Step 1: Calculate the value using the formula:

\[ B = 8^{\frac{1}{3}} \]

Step 2: Simplify the expression:

\[ B = \sqrt[3]{8} = 2 \]

The value (B) is 2.