Simplifying Powers of i

This video tutorial focuses on simplifying powers of the imaginary unit 'i'. It begins with an introduction to the basic properties of 'i', including its powers up to the fourth. The tutorial then provides step-by-step methods to simplify higher powers of 'i', such as i to the 7th, 21st, 42nd, and 189th powers, by breaking them down into multiples of four. The video also covers simplifying expressions involving powers of 'i', demonstrating the process with examples.

What is the value of i squared?

• -i

• -1

• i

• 1

How is i to the fourth power expressed?

• -1

• 1

• -i

• i

What is the value of i cubed?

• i

• -1

• -i

• 1

How can i to the seventh power be simplified?

• i

• -i

• 1

• -1

What is the simplified form of i to the 21st power?

• i

• -i

• -1

• 1

What is the result of i to the 20th power?

• -i

• i

• -1

• 1

Which of the following is a correct breakdown of i to the 42nd power?

• i to the 40th times i squared

• i to the 41st times i

• i to the 39th times i cubed

• i to the 38th times i to the fourth

How do you simplify i to the 40th power?

• -1

• 1

• -i

• i

What is the value of i to the 189th power?

• -i

• -1

• 1

• i

What is the simplified form of 3i to the 8th minus 4i to the 13th?

• -3 - 4i

• 3 - 4i

• 3 + 4i

• -3 + 4i