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

Limits at infinity, Limits At Infinity, Part I : In the earlier section w... Limits At Infinity, Part I : In the earlier section we saw limits which were infinity and now it's time to take a look at limits at infinity.  Through limits at infinity we mean

Vijay, how to solve trignometric equations more easier? how to solve trignometric equations more easier?

Solve the subsequent quadratic equation, Solve the subsequent quadratic equ... Solve the subsequent quadratic equation: Solve the subsequent quadratic equation through taking the square roots of both sides. 3x 2 = 100 - x 2 Solution: Step 1

Fraction word problems, Alan had 6 books. He read 1/3 of books last week. ... Alan had 6 books. He read 1/3 of books last week. How many books did Alan read last week?

Find where the breakdown occurred and his original speed, A cyclist, after ... A cyclist, after riding a certain distance, stopped for half an hour to repair his bicycle, after which he completes the whole journey of 30km at half speed in 5 hours.  If the bre

Prove gcd value, Let a, b, c 2 Z + . (a) Prove that if a|b, then ac|bc f... Let a, b, c 2 Z + . (a) Prove that if a|b, then ac|bc for all c. (b) If a|bc, can you conclude that either a|b or a|c? Justify your answer with a proof or a counter example.

Find interval of function, Find interval for which the function f(x)=xe x(1... Find interval for which the function f(x)=xe x(1-x)   is increasing or decreasing function

Assignment help job, Sir before I applied for online assignment help job an... Sir before I applied for online assignment help job and the selection process is not complete for me. You sent me problem assignment before.But those problems were not completed.Ca

Explain polynomials, P OLYNOMIALS : It is  not  once  nor  twice  b... P OLYNOMIALS : It is  not  once  nor  twice  but  times  without  number  that the  same ideas make  their  appearance in the  world. 1.  Find the value for K for which

PROBABILITY, Find the probability of drawing a diamond card in each of the ... Find the probability of drawing a diamond card in each of the consecutive draws from a well shuffled pack of cards,if the card drawn is not replaced after the first draw.