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Solving a Rational exponent(simplify)

  1. May 23, 2012 #1
    1. The problem statement, all variables and given/known data
    Simplify. Write as positive exponent

    c(c^5/6)/c^2


    2. Relevant equations
    None really, just exponent laws.


    3. The attempt at a solution
    c(c^5/6) comes out as.....
    c^5/6
    Dividing exponents requires subtracting them so...
    5/6 - 2/1
    Find common denominator...
    5/6 - 12/6
    Equals
    -7/6
    Turning the whole thing into
    c^-7/6

    This is completely wrong though as the answer is apparently

    1/c^1/6
    I would like to know how one comes to this conclusion please.
     
  2. jcsd
  3. May 23, 2012 #2

    SammyS

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    See correction in red.
     
  4. May 23, 2012 #3
    Could you explain to me where exactly that fraction came from?
     
  5. May 23, 2012 #4

    SammyS

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    1 + 5/6 = 11/6
     
  6. May 24, 2012 #5

    HallsofIvy

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    Well, those are "relevant equations"!


    What?? c(c5/6)= c5/6 if and only if c= 1.
    c1c5/6= c1+ 5/6

    That's a very strange statement! Dividing the numbers requires subtracting the exponents.

     
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