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.

Explain the relationship between I to the fifth power and I.

What pattern emerges when calculating powers of I?