`(-1+isqrt3)^(15)/(1-i)^(20)+(-1-isqrt3)^(15)/(1+i)^(20)` is equal to

((-1+i sqrt3)^(15))/((1-i)^(20)) + ((-1-i sqrt3)^(15))/((1+i)^(20)) is equal to

frac{(-1+isqrt3)^15}{(1-i)^20}+frac{(-1-isqrt3)^15}{(1+i)^20} is equal to

The value of ((- 1 + isqrt3)/(2))^(100) + ((- 1 - isqrt3)/(2))^(100) is equal to

(1+isqrt3)^(9)=

Let i=sqrt(-1) . If ((-1+isqrt3)^(21))/((1-i)^(24))+((1+isqrt3)^(21))/((1+i)^(24))=k , and n = [|k|] be the greatest integral part of |k|. Then sum_(j=0)^(n+5)(j+5)^2-sum_(j=0)^(n+5)(j+5) is equal to _______ .

Prove that ((-1 + isqrt3)/(2))^(n) + ((-1-isqrt3)/(2))^(n) is equal to 2 if n be a multiple of 3 and is equal to -1 if n be any other integer

((-1+isqrt3)/(2))^(6)+((-1-isqrt3)/(2))^(6)

((-1+isqrt3)/(2))^(3n)+((-1-isqrt3)/(2))^(3n)