Cool math Pre-Algebra Help Lessons: Radicals - Fractional Exponents (rational exponents)

$Cool math fractal$

Your browser does not support the IFRAME tag.

$cool math anxiety survival and success guide$ $cool geometry art - fractals, polyhedra, more$ $other math stuff$
$cool math lessons$ $cool math games and practice problems$ $cool math games$ $free online math dictionary$
$Cool Math 4 Kids$

Coolmath Pre-Algebra
Radicals lesson 7 - Fractional (rational) Exponents (page 1 of 4)
---- This pre-algebra lesson explains fractional (rational) exponents.

Your browser does not support the IFRAME tag.

Your browser does not support the IFRAME tag.	Your browser does not support the IFRAME tag.


Graphing Calculator	Scientific Calculator	<< a new window will open for these

Don't get all freaked out about these -- it's just a different notation for what you've already been doing.

	can be written as
	can be written as

* Remember that is really ... We just assume the 2.

Not that bad, is it?

Here's the general rule:

the nth root of a = a^(1/n)

This notation has some advantages because it will help you understand some things better.

Check it out:

sqrt(5) * sqrt(5) = ( 5^(1/2) ) * ( 5^(1/2) ) = 5^( 1/2 + 1/2 ) = 5^1 = 5

Now, we can show why this rule works:

( the nth root of a ) * ( the nth root of b ) = the nth root of ab

( the nth root of a ) * ( the nth root of b ) = ( a^(1/n) ) * ( b^(1/n) ) = ( ab )^(1/n) = the nth root of ab

Continued on the next page

The printing and distribution and/or downloading of these lessons is strictly prohibited.


Graphing Calculator	Scientific Calculator	<< a new window will open for these

||||| copyrights and fair use of these lessons |||||

.....::::::::::::::: HELP SUPPORT COOLMATH :::::::::::::::.....
::::::: link to us ::::::: advertise with us ::::::: why we have ads ::::::: cool math games store :::::::

|| about us || about our Cool Math Games || safe surfing || privacy policy || terms of use || copyrights & fair use ||

|| cool math pre-algebra || cool math algebra || cool math precalculus / calculus || cool math anxiety survival || geometry / art / fractals / polyhedra ||
|| free online brain bender and jigsaw puzzles || cool math books || other math stuff ||

|| cool math lessons: how to... || cool math games & practice problems || cool math 4 kids lessons and games || cool math games for arithmetic ||
|| free online math dictionary || geometry / trigonometry reference || cool math for teachers || cool math for parents || cool math games ||

|| Coolified Games || Cool Math 4 kids || Spike's Game Zone || Finance Freak || Totally Stressed Out || Science Monster lessons ||