2 1 1 1 8 3 82 3 64 3 4 64 3 4 because

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Unformatted text preview: b) 625 4 [Solution] 4 æ 243 ö 5 (c) ç ÷ [Solution] è 32 ø Solution We can use either form to do the evaluations. However, it is usually more convenient to use the first form as we will see. 2 (a) 8 3 Let’s use both forms here since neither one is too bad in this case. Let’s take a look at the first form. 2 æ 1ö 2 8 = ç 83 ÷ = ( 2 ) = 4 èø 2 3 1 3 8 = 2 because 23 = 8 Now, let’s take a look at the second form. 2 1 1 1 8 3 = ( 82 ) 3 = ( 64 ) 3 = 4 64 3 = 4 because 43 = 64 So, we get the same answer regardless of the form. Notice however that when we used the second form we ended up taking the 3rd root of a much larger number which can cause problems on occasion. [Return to Problems] 3 (b) 625 4 Again, let’s use both forms to compute this one. 3 1 æ ö 3 625 = ç 625 4 ÷ = ( 5 ) = 125 è ø 3 4 3 1 1 625 4 = 5 because 54 = 625 1 625 4 = ( 6253 ) 4 = ( 244140625 ) 4 = 125 because 1254 = 244140625 As this part has shown the second form can be quite difficult to use in computat...
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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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