How do you simplify i³⁵?

We have to evaluate i³⁵

Solution

i³⁵ can be expressed in powers

i³⁵ = i³² . i2 . i

i³⁵ = (i⁴)8 . i² . i

We know that i2 = -1

i4 = (i2)2 = (-1)²= 1

Substituting the value in the above equation we get

i³⁵= (1)8 . (-1) . i

i³⁵= -i