Random Questions

• Nov 24th 2006, 02:59 AM
Yppolitia
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
• Nov 24th 2006, 03:40 AM
CaptainBlack
Quote:

Originally Posted by Yppolitia
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.

$\displaystyle ^{12}C^3=\frac{12!}{(12-3)!\ 3!}=\frac{12 \times 11 \times 10}{3\times 2\times 1}=??$

Quote:

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

Quote:

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 :(
$\displaystyle (2x-1)^{30}=(1-2x)^{30}=1+30\times (-2x) + \frac{30\times 29\times (-2x)^2}{2}+....$

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

RonL