# How To Solve Negative Exponents

Before solving negative exponents , let’s have an overview of exponents followed by negative exponents examples
Description:
Exponents are one of the important algebraic operators that determines how many times a number is to be multiplied by itself. A number raised to an exponent can be shown as where ‘X’ is the coefficient

a’ is the base

n’ is the exponent

The positive or negative signs of ‘n’ exponent indicate whether it is a positive exponent or negative exponent respectively. In the above expression , a is raised to a negative exponent. If it is written as In this expression , a is raised to a negative exponent. Furthermore, we can write this expression as For coefficient X=1 , the above equation becomes This implies that sign of an exponent can be changed by changing its position (either numerator or denominator) in the fraction line. Secondly , a number raised to a negative exponent ‘a-n ‘ is equivalent to its reciprocal ‘ 1/an ‘.

For n =2 , a = 2 , we have the above equation as ## Negative Exponents Examples

The below given examples of negative exponents  will further tell you how to solve negative exponents Solution

By taking reciprocals of numbers raised to negative powers , we have positive exponents as Expanding the numbers raised to positive exponents , we got As the numbers raised to zero exponents are equivalent to 1. So , we have the above equation as Solution

The square roots of numbers are equivalent to numbers raised to 1/2. So , we have By rearranging powers , we have Expanding the powers , we got To solve the fractional exponent in (4)1/2 , we will first convert the base 4 to its exponential form Ian Roberts Engineer San Francisco, USA "If you're at school or you just deal with mathematics, you need to use Studygeek.org. This thing is really helpful." Lisa Jordan Math Teacher New-York, USA "I will recommend Studygeek to students, who have some chalenges in mathematics. This Site has bunch of great lessons and examples. " John Maloney Student, Designer Philadelphia, USA " I'm a geek, and I love this website. It really helped me during my math classes. Check it out) " Steve Karpesky Bookkeeper Vancuver, Canada "I use Studygeek.org a lot on a daily basis, helping my son with his geometry classes. Also, it has very cool math solver, which makes study process pretty fun"