Now we have to start looking at more complicated exponents. In this section we are going to be evaluating rational exponents. i.e. exponents in the form

                                                                    b ^m/n

where m and n both are integers.

We will begin simple by looking at the given special case,

                                                         b^{1/ n}

where n refer to an integer. Once we have figured out the more general case provided above will in fact be pretty simple to deal with.

Let's first described just what we mean by exponents of this form.

        a= b ^1/n           is equivalent to                        aⁿ  =b

In other terms, when evaluating b ^1/n, we are actually asking what number (in this case a) did we rise to the n to get b.  Frequently b ^1/n is called the n^th root of b.

Posted Date: 4/6/2013 1:50:32 AM | Location : United States

Ask an Expert

Related Discussions:- Rational exponents, Assignment Help, Ask Question on Rational exponents, Get Answer, Expert's Help, Rational exponents Discussions

Write discussion on Rational exponents
Your posts are moderated

Write your message here..

Related Questions

What is angles, What is Angles? An angle is made up of two rays with a ... What is Angles? An angle is made up of two rays with a common endpoint, which is called the vertex. The sides of the angle are rays. An angle is denoted by "θ". When two li

Auxiliary methods for information distribution, AUXILIARY METHODS There... AUXILIARY METHODS There are other reprographic methods which although commonly used earlier, are now mainly used for specific purposes. We think you should be aware of these me

Circumference, circumference of a circle circumference of a circle

Rounding fractions and mixed numbers, round each number to the nearest half... round each number to the nearest half 2 over 5

Expected value, Expected Value For taking decisions under conditions of... Expected Value For taking decisions under conditions of uncertainty, the concept of expected value of a random variable is used. The expected value is the mean of a probability

Evolve a game to help children remember basic multiplication, Evolve a game... Evolve a game to help children remember basic multiplication facts. In this section we have looked at ways of helping children absorb some simple multiplication facts. But what

Math World Problem, The ratio of gasoline to oil needed to run a chain-saw ... The ratio of gasoline to oil needed to run a chain-saw is 16:1. If you have 3.5 mL of oil, how many millilitres of gasoline must you add to get the proper mixture?

Determine the probability that is of low quality, 1) A local factory makes ... 1) A local factory makes sheets of plywood. Records are kept on the number of mild defects that occur on each sheet. Letting the random variable x represent the number of mild de

Example of a function - inflection point, 1. (a) Give an example of a funct... 1. (a) Give an example of a function, f(x), that has an inflection point at (1, 4). (b) Give an example of a function, g(x), that has a local maximum at ( -3, 3) and a local min

The achievements from math, i love math..but i am afraid to study it... i m... i love math..but i am afraid to study it... i mean i ma afraid that it may leave me in clay...what can you suggest me?