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Math Help - Stuck on an SAT problem

  1. #1
    inferno_goog
    Guest

    Stuck on an SAT problem

    Hello,
    I go this from an SAT practice book. Unfortunatly it does not show the solution. This is the problem:



    please help. i have no clue how to get to the answer
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  2. #2
    Newbie
    Joined
    Mar 2006
    Posts
    8
     432=2^4*3^3
    So if  432=a^3*b^2 and a and b are positive integer then a can only contain prime factors 2 and 3. And the power of each prime factor cannot be greater then 1. The power of 2 is equal to 0 because if it is equal to 1 then  b^2 must contain  2^1 which is impossible. The power of 3 cannot be equal to 0 because in such case  b^2 must contain  3^3 which is impossible. So  a=3 then  b=4 and  ab=12
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