Find the exact value of (-1/2 + i(sqrt(3)/2))^7 and write the result in exact rectangular form.

Question

anonymous · Answer

$$(-\frac{ 1 }{ 2 } + i \frac{ \sqrt(3) }{ 2 })^{7}$$

anonymous · Answer

@RadEn, do you know?

raden · Answer

actually, use the binomial newton formula :
(a+b)^n = nC0(a)^(n-0)(b)^0 + nC1(a)^(n-1)(b) + nC2(a)^(n-2)(b)^2 + ... + nCn(a)^(n-n)(b)^n +

anonymous · Answer

I have not learned that

raden · Answer

hmmmm... for basic, u have to know about factorial like this :
4! = 4*3*2*1 = 24
3! = 3*2*1 = 6
and to calculating for combination, u can use the formula :
nCr = n!/((n-r)!r!)

raden · Answer

maybe this site can help u http://www.mathsisfun.com/pascals-triangle.html

raden · Answer

or this :) http://www.wolframalpha.com/input/?i=%28%28-1%2F2%29%2Bisqrt%283%29%2F2%29^7

anonymous · Answer

I couldn't figure it out. This was on my final and I just took it. It was one of the extra credit problems so i'm not worried about it. Thanks anyway!