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Unformatted text preview: d and all we need to do to eliminate the negative
exponent on the second term is use the definition we gave for negative exponents.
4 x -4 y 5 ) = 64 ç 12 ÷ y15 = 12
èx ø We further simplified our answer by combining everything up into a single fraction. This should
always be done.
The middle step in this part is usually skipped. All the definition of negative exponents tells us to
do is move the term to the denominator and drop the minus sign in the exponent. So, from this
point on, that is what we will do without writing in the middle step.
[Return to Problems] (b) ( -10 z 2 y -4 ) ( z 3 y )
2 -5 In this case we will first use property 10 on both terms and then we will combine the terms using
property 1. Finally, we will eliminate the negative exponents using the definition of negative
exponents. ( -10 z 2 y -4 ) ( z 3 y ) = ( -10 ) z 4 y -8 z -15 y -5 = 100 z -11 y -13 =
2 -5 2 100
z11 y13 There are a couple of things to be careful with in this problem. First, when using the property 10
on the first term, make s...
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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