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How do you Simplify 4^(7/3) - 12^(4/3)? Please Step by Step

  1. Dec 13, 2011 #1
    1. The problem statement, all variables and given/known data
    (Square Root Exponents) 4(7/3) - 12(4/3)

    For this problem The answer is 4x^2 - 12x but i tried i could not seem to obtain the same answer, could you please explain on how to do this step by step so I know do the rest of other problems


    2. Relevant equations



    3. The attempt at a solution

    stuck :( 3√4x)7 - (3√12x)4
    = (3√47x7) - (3√124x4)......
     
    Last edited: Dec 13, 2011
  2. jcsd
  3. Dec 13, 2011 #2

    Mark44

    Staff: Mentor

    What exactly is the problem? From the title it looks like you need to simplify 47/3 - 124/3, but this has absolutely nothing to do with 4x2 - 12x.

    And what do "square root exponents" mean?
     
  4. Dec 13, 2011 #3

    jedishrfu

    Staff: Mentor

    I think the correct equation is:

    4 x ^ (7/3) - 12 x ^ (4/3)

    Remember that x ^ (7/3) = x^2 * x ^ (1/3)

    and that x ^ (4/3) = x * x^(1/3)
     
    Last edited by a moderator: Dec 14, 2011
  5. Dec 14, 2011 #4
    Assuming the above expression is correct, don't forget that you can factor out exponents. Don't let the fact that they're fractions distract you.
     
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