Rewriting Powers of i (1.12.2)

Question 1

• i = sqrt-1. The number i is an example of an imaginary number.

Answer 1

• i = sqrt-1. The number i is an example of an imaginary number.

Question 2

• i^2 = -1.

Answer 2

• i^2 = -1.

Question 3

• i^3 = i * i^2 = i * -1 = -i.

Answer 3

• i^3 = i * i^2 = i * -1 = -i.

Question 4

• i^4 = (i^2)^2 = -1 * -1 = 1.

Answer 4

• i^4 = (i^2)^2 = -1 * -1 = 1.

Question 5

• Every power of i is equal to one of these four values: i, -1, -i, or 1.

Answer 5

• Every power of i is equal to one of these four values: i, -1, -i, or 1.