Algebra II

Question

Express in simplest a+bi form. i¹⁶+2i⁶-4i⁵+i¹³

Answer 1

i = √-1 = i⁵ = i⁹

i² = -1 = i⁶

i³ = -i = i⁷

i⁴ = 1 = i⁸

 

The powers of i have only four values.

Can you determine the value of the various i's?