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

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

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

Express the following in the form a + ib a,b in R , using De Moiver's theorem. (1 - sqrt(3i))^4

Find the value of: ((1 + isqrt(3)) / (1 - isqrt(3)))^6 + ((1 - isqrt(3)) / (1 + isqrt(3)))^6 using De Moivre's Theorem

Find the value of (3 + 2/i) (i^6 - i^7) (1 + i^11) .

Find the value of (3+2/i) ( i^6 - i^7 )(1+ i^11 )

Find the value of x^3 +2 x^2 -3x+21, if x=1+2i

Express the following in theform a+ib, a, b in R, using De-Moiver's theorem: (-2sqrt 3-2i)^5

Express the following in theform a+ib, a, b in R, using De-Moiver's theorem: (1-sqrt3 i)^4