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Math Help - A simplifying algebraic expression tribulation.

  1. #1
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    A simplifying algebraic expression tribulation.

    Can you please help me to simplify this-

    6p^2q/9q^2r times 2pr/5pq divide by 8rqp/6r^3p^2

    Many thanks to all benevolences!
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  2. #2
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    Quote Originally Posted by DengXiang View Post
    Can you please help me to simplify this-

    6p^2q/9q^2r times 2pr/5pq divide by 8rqp/6r^3p^2

    Many thanks to all benevolences!
    Note that
    a^ma^n = a^{m+n}
    a^m/a^n = a^{m-n}

    In your case we have

    (6p^2q)(2pr/5pq)/(8rqp/[6r^3p^2])

    when dividing by a fraction we may flip it and multiply:


    (6p^2q)(2pr/5pq)(6r^3p^2)/(8rqp)
    to which we collect and simplify, one at a time to get :

    \frac{9}{5}p^4q^{-1}r^3 = \frac{9p^4r^3}{5q}
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