Math111i_Quiz4_Solutions

# Math111i_Quiz4_Solutions - p 5 p 2 2 p 6 = p 5 Â p 2 Â 2 p...

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Math 111I Sec 001 Quiz 4 Solutions 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. (2 points) Write the number in decimal notation (standard notation, not scientific): 3 . 24 × 10 11 Solution. 3 . 24 × 10 11 = 3 . 24 · 100000000000 =324,000,000,000. 2. (2 points) Write the number in scientific notation: 6,890,000,000 Solution. 6,890,000,000= 6 . 89(1000000000) = 6 . 89 × 10 9 . 3. (3 points) Simplify the expression. Express your answer using only positive exponents. p 5 ( p 2 ) 2 p 6 Solutions.

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Unformatted text preview: p 5 ( p 2 ) 2 p 6 = p 5 Â· p 2 Â· 2 p 6 by rule 3 = p 5 Â· p 4 p 6 = p 5+4 p 6 by rule 1 = p 9 p 6 = p 9-6 = p 3 by rule 2 . Math 111I Sec 001 Quiz 4 Solutions 4. (3 points) Simplify the expression. Express your answer using only positive exponents and evaluate whenever possible. Â± 3 x 6 y-1 Â²-4 Solutions. The computation follows by Â± 3 x 6 y-1 Â²-4 = 1 Â± 3 x 6 y-1 Â² 4 by rule 6 = 1 3 4 ( x 6 ) 4 ( y-1 ) 4 by rule 4 = 1 81 x 6 Â· 4 y (-1) Â· 4 by rule 3 = 1 81 x 24 y-4 = 1 81 x 24 1 y 4 = 1 81 x 24 Â· y 4 1 by the rule of dividing by a fraction = y 4 81 x 24...
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