Often b is called the nth root of b lets do a couple

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Unformatted text preview: t the following special case, 1 bn where n is an integer. Once we have this figured out the more general case given above will actually be pretty easy to deal with. Let’s first define just what we mean by exponents of this form. 1 a = bn is equivalent to an = b 1 n In other words, when evaluating b we are really asking what number (in this case a) did we 1 n raise to the n to get b. Often b is called the nth root of b. Let’s do a couple of evaluations. Example 1 Evaluate each of the following. (a) 25 (b) 32 1 2 [Solution] 1 5 [Solution] 1 4 (c) 81 [Solution] (d) ( -8 ) 1 3 [Solution] 1 (e) ( -16 ) 4 [Solution] 1 4 (f) -16 [Solution] Solution When doing these evaluations we will do actually not do them directly. When first confronted with these kinds of evaluations doing them directly is often very difficult. In order to evaluate these we will remember the equivalence given in the definition and use that instead. We will work the first one in detail and then not put as much detail into the re...
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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.

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