Alg_Complete

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

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

## 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.

Ask a homework question - tutors are online