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= a2
2
a http://tutorial.math.lamar.edu/terms.aspx College Algebra ( 10. a nb m ) k ( Example : a 4b 9 = a nk b mk k ) 3 = a( 4 )( 3) b(  9 )( 3) = a12b 27 2 62
æ a6 ö
a ( )( ) a12
Example : ç 5 ÷ = ( 5)( 2 ) = 10
b
b
èb ø æ an ö
a nk
11. ç m ÷ = mk
èb ø b Notice that there are two possible forms for the third property. Which form you use is usually
dependent upon the form you want the answer to be in.
Note as well that many of these properties were given with only two terms/factors but they can be
extended out to as many terms/factors as we need. For example, property 4 can be extended as
follows. ( abcd ) n = a nb n c n d n We only used four factors here, but hopefully you get the point. Property 4 (and most of the other
properties) can be extended out to meet the number of factors that we have in a given problem.
There are several common mistakes that students make with these properties the first time they
see them. Let’s take a look at a couple of them.
Consider the following case....
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.
 Spring '12
 MrVinh

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