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Math Help - Random Questions

  1. #1
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    Random Questions

    What is the value of 12^c^3

    for those of you confused by this its a C in the middle with a power of three to the bottom left and a power of 12 on the top right.


    How would I write (Sqrt)6*36/6^-1 as a single fraction?


    And finally, in the expansion of (2x-1)^30

    What is the co efficient of x^2. I know you use pascals triangle but im confused with the theory of how to do it


    Thanks a lot
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Yppolitia View Post
    What is the value of 12^c^3

    for those of you confused by this its a C in the middle with a power of three to the bottom left and a power of 12 on the top right.
    <br />
^{12}C^3=\frac{12!}{(12-3)!\ 3!}=\frac{12 \times 11 \times 10}{3\times 2\times 1}=??<br />

    How would I write (Sqrt)6*36/6^-1 as a single fraction?
    \sqrt{6} \times 36/6^{-1}=6^{1/2}\times 6^2 \times 6=6^{7/2}

    And finally, in the expansion of (2x-1)^30

    What is the co efficient of x^2. I know you use pascals triangle but im confused with the theory of how to do it
    <br />
(2x-1)^{30}=(1-2x)^{30}=1+30\times (-2x) + \frac{30\times 29\times (-2x)^2}{2}+....<br />

    So the coefficient of x^2 looks like 1740 to me.

    RonL
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