Algebra 2 - What is the imaginary unit i to the higher powers

The video tutorial explains the concept of imaginary numbers, focusing on the powers of the imaginary unit 'i'. It begins with an introduction to 'i' and its significance in mathematics. The tutorial then delves into the properties of i squared, which equals negative one, and i cubed, which equals negative i. The instructor further explains i to the fourth, which equals one, highlighting the cyclic nature of the powers of 'i'. The video concludes by emphasizing the importance of understanding the first four powers of 'i' as they form a repeating pattern.

What is the value of i squared?

• 0

• 1

• -1

• i

How is i cubed represented?

• 1

• -i

• -1

• i

What is the value of i to the fourth power?

• -i

• i

• 1

• -1

What is the value of i to the fifth power?

• -1

• 1

• -i

• i

What is the value of i to the sixth power?

• i

• -1

• -i

• 1