Understanding Complex Numbers and Their Powers

The video tutorial explains the properties of the imaginary unit i, where i equals the square root of negative one. It breaks down a complex expression involving powers of i, simplifies it step by step, and arrives at the final answer, which is negative one.

What is the value of i squared?

• 1

• i

• -1

• 0

How can i cubed be expressed in terms of i and i squared?

• i squared minus i

• i squared times i

• i times i

• i squared plus i

What is the expression for i to the fourth power?

• i squared times i

• i to the fifth

• i squared squared

• i squared

What is the result of the expression after substituting and simplifying?

• -1

• i

• 1

• 0

Which of the following is the correct simplification of the expression I minus one minus I?

• i

• 1

• -1

• 0