Evaluate the expression i81 and write the result in the form

Evaluate the expression i^81 and write the result in the form a + bi. The real number a equals The real number b equals

Solution

i^81

i^81 can be expressed as (i^2)^40 * i

value of i^2 = -1

(i^2)^40 * i = (-1)^40 *i = 1*i = i

writing in a+bi form

0 + 1 i

a = 0

b = 1