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Math Help - Simplifying Quadratic equations

  1. #1
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    Simplifying Quadratic equations

    Hi, I have an assignment due tomorrow. There are two questions that i am stuck on. Could you please help me out with them? They are:
    1) (2a^)^2 x 3(a^-4 b)^-
    ______________________
    4b^-5

    2) (12p q- r)^/ 144q^
    ____
    5p

    Please note: The end of question two is 144q over 5p, not everything over 5p. I have been unable to keep the numerator and the denominator together.
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  2. #2
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    I would suggest expanding everything first, and then simplify.
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  3. #3
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    Am i on the right track in thinking that the next step would take me to:

    4a^6 x 27a^12 x 27b
    _______________________
    4b^-5

    Or am i supposed to do it differently?
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  4. #4
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    Could you please use LaTeX. It's very hard to figure out what the question is. (Use [tex] and [/tex] commands.)
    I'll try it but correct me if something is wrong.
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  5. #5
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    So the first question: \frac {\left(2a^3\right)^2\cdot3\left(a^{-4}b\right)^{-3}}{4b^{-5}}
    The second one: \frac {\left(12p^2 q^{-3} r\right)^{5p^2}}{144q^{5p^2}}

    Tell me if I'm right or wrong.
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  6. #6
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    Quote Originally Posted by mcaelli View Post
    Hi, I have an assignment due tomorrow. There are two questions that i am stuck on. Could you please help me out with them? They are:
    1) (2a^)^2 x 3(a^-4 b)^-
    ______________________
    4b^-5
    Hello! May I know if your question is:
    (2a) x 3(a^-4)(b)-
    4b^-5

    [it is b to the power of 3 right?]

    If I solve this question:
    (2a) x 3(a^-4)(b)-
    4b^-5

    = 4(a^6) x 3b^5
    4(a^4)(b)

    Cancelling off common terms 4 and a^4 and b^3, I will get: a + b

    I think it is correct, but i am not sure of your question...
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