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Doublecheck reduction of rational expressions

  1. Oct 7, 2016 #1
    1. The problem statement, all variables and given/known data
    teacher gave me the correct solution which said that the result from him was as follows
    ##\frac{1}{a^2b^6}##

    2. Relevant equations

    original problem was as follows
    ##\frac{ (\frac{1}{a})^2*b^{-3}}{ ab^3 }##
    3. The attempt at a solution




    ##\frac{\frac{1}{(a^2)b^3}}{ab^3}##

    ##= (\frac{1}{a^2b^3}) / (\frac{ab^3}{1})##

    ##= (\frac{1}{a^2b^3}) * \frac{1}{ab^3}##

    ##=\frac{1}{a^2b^3} ~~* ~~\frac{1}{a^1b^3}##

    ##=\frac{1}{a^3b^6}##

    notice how there is the denominator ##a^3b^6##
     
  2. jcsd
  3. Oct 7, 2016 #2

    Mark44

    Staff: Mentor

    I agree with your answer, not your teacher's. Make sure that you and the teacher are both starting with the same expression.
     
  4. Oct 7, 2016 #3

    yep on closer inspection... it looks like my teacher simply used rushed calculation, doing several things at the same time... and he made a typo because of that.

    it look like he had a correct mid-result from an earlier calculation but forgot about it.
     
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