Algebra 2 - Model imaginary numbers to the first four powers

The video tutorial explains the powers of the imaginary unit 'i'. It starts with the definition of i as the square root of -1 and derives i squared as -1. The tutorial then moves to i cubed, showing it equals negative i, and i to the fourth, which equals positive one. The instructor highlights the repeating pattern of i's powers, emphasizing that i to the fifth returns to i, and this cycle continues. The key takeaway is understanding and remembering the values of i's powers and their cyclical nature.

What is the value of i squared?

• 0

• 1

• -1

• i

How is i cubed calculated?

• i * i * i * i

• i squared * i squared

• i squared * i

• i * i

What is the result of i cubed?

• 1

• -1

• i

• -i

What is the value of i to the fourth power?

• 1

• -i

• -1

• i

What happens when you continue to multiply powers of i beyond the fourth power?

• The values repeat in a cycle

• The values increase exponentially

• The values decrease to zero

• The values become undefined