" (v) "(-i)^(4n+3)," where "n" is a positive integer."

((1+i)/(1-i))^(4n+1) where n is a positive integer.

Show that (-sqrt(-1))^(4n+3)=i , where n is a positive integer.

Show that (-sqrt(-1))^(4n+3) =i , where n is a positive integer.

Find the value of (-1)^(n)+(-1)^(2n)+(-1)^(2n_1)+(-1)^(4n+2) , where n is any positive and integer.

Solve (x-1)^(n)=x^(n), where n is a positive integer.

(-i)^(4n+3) , where n Is a positive integer. Then prove that it is equals to i

Solve (x - 1)^n =x^n , where n is a positive integer.

If A= [(3 , -4), (1 , -1) ] , then prove that A^n=[(1+2n , -4n), (n , 1-2n) ] , where n is any positive integer.

Prove that (1+i)^n+(1-i)^n=2^((n+2)/2).cos((npi)/4) , where n is a positive integer.

Prove that (1+i)^n+(1-i)^n=2^((n+2)/2).cos((npi)/4) , where n is a positive integer.