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

Express the following in theform a+ib, a, b in R, using De-Moiver's theorem: (1-i)^5

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+i)^6

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

Express the following in the form a + ib, a,b in R : (1 + i) / (1 - i)

Express the following in the form a + ib, a,b in R : (2 + 3i) / (3 + 2i)

Express the following in the form a + ib, a,b in R : ((1 - i) / (1 + i))^2

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

Express the following in the form of a + ib, where a, b in R , i = sqrt-1 . State the value of a and b. (i(4 + 3i))/(i - 1)

Express the following in the form of a + ib, where a, b in R , i = sqrt-1 . State the value of a and b. (-sqrt(5) + 2sqrt(-4)) + (1 - (sqrt-9)) + (2 + 3i) (2 - 3i)