If n is an integer which leaves remainder one when divided by three,then `(1+sqrt(3)i)^(n)+(1-sqrt(3)i)^(n)=`

If n is a positive integer,then (sqrt(3)+i)^(n)+(sqrt(3)-i)^(n) is

the value of ((-1+sqrt(3)i)/(2))^(3n)+((-1-sqrt(3)i)/(2))^(3n)=

Show that 4.6^(n) +5^(n+1) leaves remainder 9 when divided by 20.

For any integer n,the argument of ((sqrt(3)+i)^(4n+1))/((1-i sqrt(3))^(4n))

n in N((1+i)/(sqrt(2)))^(8n)+((1-i)/(sqrt(2)))^(8n)=

n in N,((1+i)/(sqrt(2)))^(8n)+((1-i)/(sqrt(2)))^(8n)=

Find the remainder when (x+1)^(n) is divided by (x-1)^(3)

If n is a positive even integer,which of the following will always be integers (sqrt(2)+1)^(n)+(sqrt(2)-1)^(n)