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Now that we know that the properties are still valid we can see how to deal with the more general
rational exponent. There are in fact two different ways of dealing with them as we’ll see. Both
methods involve using property 2 from the previous section. For reference purposes this property
is, (a ) nm = a nm So, let’s see how to deal with a general rational exponent. We will first rewrite the exponent as
ç ÷( m ) b n = bè n ø In other words we can think of the exponent as a product of two numbers. Now we will use the
exponent property shown above. However, we will be using it in the opposite direction than what
we did in the previous section. Also, there are two ways to do it. Here they are, æ 1ö
b = çbn ÷
n m m OR 1 b n = ( bm ) n Using either of these forms we can now evaluate some more complicated expressions © 2007 Paul Dawkins 11 http://tutorial.math.lamar.edu/terms.aspx College Algebra Example 2 Evaluate each of the following.
2 (a) 8 3 [Solution]
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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