Math111i_Quiz5_Solutions

Math111i_Quiz5_Solutions - -4 5-4 b-2-6 5 Now we make this...

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Math 111I Sec 001 Quiz 5 Name Directions: Read each question carefully and answer in the space pro- vided. The use of calculators is allowed, but not necessary. There are 10 points possible. To receive partial credit on any problem work must be shown. 1. (3 points) Simplify the expression. Express your answer using only positive exponents. ab - 2 a - 4 b - 1 Solutions. The computation follows as ab - 2 a - 4 b - 1 = a a - 4 · b - 2 b - 1 = a 1 - ( - 4) b ( - 2) - ( - 1) = a 5 b - 1 = a 5 b 2. (3 points) Simplify the expression. Express your answer using only positive exponents. p ( p 4 ) 0 p 3 Solutions. The computation follows as p ( p 4 ) 0 p 3 = p ( p 0 ) p 3 = p p 3 because p 6 = 0 we have p 0 = 1 = p 1 - 3 = p - 2 = 1 p 2 . 3. (2 points) SImplify the expression. Express your answer using only positive exponents. ± a 2 / 5 b a - 2 b 3 / 5 ² - 2
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Math 111I Sec 001 Quiz 5 Solutions. Our computation follows as ± a 2 / 5 b a - 2 b 3 / 5 ² - 2 = ( a 2 / 5 ) - 2 ( b ) - 2 ( a - 2 ) - 2 ( b 3 / 5 ) - 2 = a - 4 / 5 b - 2 a 4 b - 6 / 5 = a - 4 / 5 a 4 · b - 2 b - 6 / 5 = a
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Unformatted text preview: -4 / 5-4 b-2-(-6 / 5) . Now we make this computation on the side.-4 5-4 =-4 5-5 5 · 4 =-4 5-20 5 =-24 5-2-±-6 5 ² =-2 + 6 5 = 6 5-5 5 · 2 = 6 5-10 5 =-4 5 . Thus we have that ± a 2 / 5 b a-2 b 3 / 5 ²-2 = a-4 / 5-4 b-2-(-6 / 5) = a-24 / 5 b-4 / 5 = 1 a 24 / 5 b 4 / 5 . 4. (2 points) Given that there are 5280 feet in 1 mile (ask if any other conversion factors are needed), convert 30 in/sec to mi/day. Math 111I Sec 001 Quiz 5 Solutions. Our computation follows as 30in 1sec · 1ft 12in · 1mi 5280ft · 60sec 1min · 60min 1hr · 24hrs 1day = 30 · 60 · 60 · 24 mi 12 · 5280 days = 2 , 592 , 000 63 , 360 mi / day = 40 . 91 mi / day...
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This note was uploaded on 02/16/2011 for the course MATH 111 taught by Professor Hitchcock during the Fall '08 term at South Carolina.

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Math111i_Quiz5_Solutions - -4 5-4 b-2-6 5 Now we make this...

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