SOLUTION: Can someone please help me with this Perform the indicated operation. Give the answers in the lowest terms. 3x^2/4 x 16/x^3

Algebra ->  Algebra  -> Exponents -> SOLUTION: Can someone please help me with this Perform the indicated operation. Give the answers in the lowest terms. 3x^2/4 x 16/x^3      Log On

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Question 201862: Can someone please help me with this
Perform the indicated operation. Give the answers in the lowest terms.
3x^2/4 x 16/x^3
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
%28%283x%5E2%29%2F%284%29%29%28%2816%29%2F%28x%5E3%29%29 Start with the given expression.


%283x%5E2%2A16%29%2F%284x%5E3%29 Combine the fractions.


%2848x%5E2%29%2F%284x%5E3%29 Multiply


%2812%2A4%2Ax%5E2%29%2F%284x%5E3%29 Factor the numerator


%2812%2A4%2Ax%5E2%29%2F%284x%5E2%2Ax%29 Factor the denominator


%2812%2Ahighlight%284%29%2Ahighlight%28x%5E2%29%29%2F%28highlight%284%29%2Ahighlight%28x%5E2%29%2Ax%29 Highlight the common terms.


%2812%2Across%284%29%2Across%28x%5E2%29%29%2F%28cross%284%29%2Across%28x%5E2%29%2Ax%29 Cancel out the common terms.


12%2Fx Simplify


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Answer:


So %28%283x%5E2%29%2F%284%29%29%28%2816%29%2F%28x%5E3%29%29 simplifies to 12%2Fx


In other words, %28%283x%5E2%29%2F%284%29%29%2A%28%2816%29%2F%28x%5E3%29%29=12%2Fx where x%3C%3E0