This is a free lesson from our course in Algebra II

 In this lesson, you'll be introduced to fractional exponents following the definition of exponent, important identities and properties satisfied by integer exponentiation. Simply saying the exponent of a number says how many times to multiply the number.For example, 34 means to multiply 3 itself 4 times, where 3 is the base and the 4 called the exponent. Both the base and the exponent can be either a number or a variable. The rules of exponents to remember are: • xm xn = x(n+m) • (xm)n = xmn for x 0, and • x-m = 1/xm • xm/xn = xm-n • (xy)n = xnyn (More text below video...)
Other useful lessons:
 Evaluating numbers raised to fractional exponents Simplifying expressions with exponents Solving equations involving fractional exponents
(Continued from above) Moreover while addition; multiplication is commutative and associative, but exponentiation is not.
Now, let's look at what happens when we write x1/4 i.e. with exponent of one-quarter (1/4). This means (x1/4)4 = x1/4*4= x1 = x. So,
x1/4 = 4th root of x.
We can generalize and state:
A fractional exponent like 1/n means to take the nth root:
x1/n = nx
E.g. 271/3 = 327 = 3.
Similarly a fractional exponent like m/n means to do the mth power, then take the nth root i.e.
xm/n = nxm.
For example, 43/2 = 4 3*1/2 = (43) = (4×4×4) = (64) = 8.
Winpossible's online math courses and tutorials have gained rapidly popularity since their launch in 2008. Over 100,000 students have benefited from Winpossible's courses... these courses in conjunction with free unlimited homework help serve as a very effective math-tutor for our students.
 - All of the Winpossible math tutorials have been designed by top-notch instructors and offer a comprehensive and rigorous math review of that topic. - We guarantee that any student who studies with Winpossible, will get a firm grasp of the associated problem-solving techniques. Each course has our instructors providing step-by-step solutions to a wide variety of problems, completely demystifying the problem-solving process! - Winpossible courses have been used by students for help with homework and by homeschoolers. - Several teachers use Winpossible courses at schools as a supplement for in-class instruction. They also use our course structure to develop course worksheets.

 Copyright © Winpossible, 2010 - 2011 Best viewed in 1024x768 & IE 5.0 or later version