Enter the base number and the index or root into the calculator to determine the value of the number with a fractional index. This calculator can also evaluate any of the variables given the others are known.
Fractional Index Formula
The following formula is used to calculate the value of a number with a fractional index.
V = a^{(1/n)}Variables:
- V is the value of the number with a fractional index
- a is the base number
- n is the index or root
To calculate the value of a number with a fractional index, raise the base number to the power of the reciprocal of the index or root.
What is a Fractional Index?
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. For example, in the expression 2^(3/2), the number 2 is raised to the power of 3 and then the square root is taken.
How to Calculate Fractional Index?
The following steps outline how to calculate the Fractional Index using the formula: V = a^(1/n).
- First, determine the base number (a).
- Next, determine the index or root (n).
- Next, substitute the values of a and n into the formula V = a^(1/n).
- Finally, calculate the value of V.
- After inserting the variables and calculating the result, check your answer with a calculator.
Example Problem:
Use the following variables as an example problem to test your knowledge.
Base number (a) = 4
Index or root (n) = 2
