Complex #s

Question 1

i^1

Answer 1

i

Question 2

i^2

Answer 2

-1

Question 3

i^3

Answer 3

-i

Question 4

i^4

Answer 4

1

Question 5

Find the value of i^n

Answer 5

1. Find the closest # ≤ n that is divisible by 4 (eg. r)
2. Find n-r
3. i^(n-r)=i^n

Question 6

Solve a multiplication, division, additions or subtraction question involving (a) complex #(s)

Answer 6

1. Assume the complex # is an algebraic expression where i is treated as x
2. Solve for the “algebraic expression”

Question 7

Solve for n/(x+i), given x and n

Answer 7

1. Multiply both the denominator and the numerator by the conjugate of the denominator where the conjugate is when the two terms of the expression are added but the second term has the opposite sign
2. Solve