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)^5

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)^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. (-sqrt(5) + 2sqrt(-4)) + (1 - (sqrt-9)) + (2 + 3i) (2 - 3i)

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

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