Fractional Index Calculator

Formula

To calculate the value of a number with a fractional index:

\[ V = a^{(1/n)} \]

Where:

\( V \) is the value of the number with a fractional index
\( a \) is the base number
\( n \) is the index or root

Fractional Index Definition

A fractional index, also known as a rational exponent, is an exponent that is a fraction. It is used to represent both roots and powers of a number. The numerator of the fraction indicates the power to which the number is raised, while the denominator indicates the root of the number.

Example Calculation

Let's assume the following values:

Base Number (a) = 8
Index (n) = 3

Using the formula:

\[ V = 8^{(1/3)} = 2 \]

The value is 2.