Common Fractional Exponents
Lets find out some common exponents which are used in various places and can be named accordingly as shown in the table below:
Exponent | Name of Exponent | Representation |
|---|---|---|
1/2 | Square root | a1/2= |
1/3 | Cube root | a1/3= |
1/4 | Fourth root | a1/4 = |
Fractions with Fractional Exponents
When we encounter fractional exponents in a fraction then various amazing result arises.
For example: (1/25)1/2 , here a fractional exponent that is 1/2 is present over a fraction that is 1/25.
So to find this we need to take the square root of both the numerator and denominator. So, (1)1/2/(25)1/2 = 1/5
In this way we get the values for fractions with fractional exponents.
Read More,
Fractional Exponents
Fractional Exponents are used to describe numbers with fractional powers and are also known as Rational Exponents. As any exponent shows how many times a number has been multiplied i.e., 32 = 3 × 3 = 9, but in the case of fractional exponents, it can’t be the case as we can’t multiply 3 to itself 1.5 times. Thus, fractional exponents are natural extensions of integral exponents and are used to calculate the values of fractional powers as well as radicals.
This article provides a well-rounded description of Fractional Exponents, including subtopics such as examples, representation, and laws. Other than that, all the subtopics such as various operations performed with fractional exponents, solving any fractional exponent, negative fractional exponent, and many many more, are discussed too.
Table of Content
- What are Fractional Exponents?
- Common Fractional Exponents
- How to Solve Fractional Exponents?
- Multiplying Fractional Exponents
- Dividing Fractional Exponents
- Negative Fractional Exponents