Extra Practice (Test Prep)Powers of i & multiply

i, the imaginary unit raised to different exponents has a cycle of four possible outcomes:

i¹= i, i² = -1, i³ = -i, i⁰ = 1

• True

• False

Match the following: Ay, ay , ay!!

• 0

• i⁰ or i⁴ =

• -1

• i³=

• i

• -i

• i¹=

• i

• i²=

To determine what i²³ is equal to, you divide 23 by 4, and use the remainder as the exponent of i.

Example: i^{23÷4 remainder 3} = i³ = -i

• True

• False

• 1

• -1

• i

• -i

• 1

• -1

• 1

• -1

• 1

• -1

• 1

• -1

Which statements are true? Select all that apply.

What does i² = ?

• 1

• √-1

• -1

• -√1