Fractional Exponents Calculator

Avail the handy tool Fractional Exponents Calculator that displays the simplification of the given exponent in no time. Simply enter the input fractional exponent in the input field and hit the calculate button to get the simplified exponent in a fraction of seconds.

Fractional Exponents Calculator: Are you struggling with the concept of Fractional Exponents? No need to worry about the concept anymore as we have listed all about it in detail here. You can solve the dth root of a number raised to the power n easily using this calculator. Get to know the step by step process for solving the fractional exponents or rational exponents.  Check out the examples explained in the later modules so that you can get the concept better.

How to Simplify Fractional Exponents?

There are several conditions while dealing with Fractional Exponents. You can see all of them and know how to solve the fractional exponents with different conditions. They are as follows

  • Fractional Exponents having the numerator 1
  • Fractional Exponents having the numerator other than 1(any fractions)

Fractional Exponents having the numerator 1

Fraction Exponents are a way of expressing powers along with roots in one notation. Let's check out Few Examples whose numerator is 1 and know what they are called.

361/2 = √36

273 =∛27

The first one exponent of 1/2 is called the square root and the next one exponent of 1/3 is referred to as cube root. If we continue the same. An exponent of 1/k is called as the k-th Root.

x1/k= k√x

Fractional Exponents having the numerator other than 1(any fractions)

In the cases where the numerator is not equal to 1(n≠1)

a = xn/d

You just need to raise the number to the power n and take out the dth root from it. You need not bother about the order as you can split it into two parts.

  • Whole Number(n)
  • Fraction Part(1/d)

xn/d = x(n.1/d)= (xn)1/d=(x1/d)n

xn/d = d√xn =(d√x)n

You can choose any of the methods that you are comfortable with and do your computations.

Example : Compute the Fractional Exponent 163/2?

Solution:

Given Fractional Exponent 163/2

163/2 = 16(3. 1/2)

= (163)1/2

=√163

= √4096

= 64

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Fractional Exponents Calculator

FAQs on Fractional Exponents Calculator

1. What is meant by Fractional Exponents?

Fractional Exponents are a way of expressing the roots and powers in an expression.


2. What is the other name of Fractional Exponents?

Fractional Exponents are also called as Rational Exponents.


3. What are the different ways to represent Fractional Exponents?

Different ways to represent Fractional Exponents are fractional exponents with a numerator 1, numerator value other than 1, negative fractional exponents, etc.


4. How to use a Fractional Exponents Calculator?

You just need to enter the input fractional exponent value in the respective input provision and hit the calculate button to avail the result in no time.