Question

question 9 of 10
what is (i^{22})?

a. (i)
b. (-i)
c. (1)
d. (-1)

Explanation:

Step1: Recall the definition of imaginary unit \(i\)

We know that the imaginary unit \(i\) is defined as \(i = \sqrt{-1}\), so \(i^{2}=(\sqrt{-1})^{2}\)

Step2: Calculate \(i^{2}\)

By the property of exponents and square roots, \((\sqrt{-1})^{2}=- 1\)

Answer:

D. -1