Find the value of `[i^18 + (1 / i)^25]^3`

Evaluate [i^18 + (1/i)^25]^3

Find the value of: i+ i^2 + i^3 + i^4

Show that Find the value of: 1+ i^10 + i^100 - i^1000 = 0

For a positive integer n, find the value of (1-i)^n (1-1/i)^n

Find the value of (i^6 + i^7 + i^8 + i^9) / (i^2 + i^3)

Find the value of (1 + i)^(2 / 3) using De Moivre's Theorem.

Express the following in the form of a + ib, where a, b in R , i = sqrt-1 . State the value of a and b. (1 - i)^-3