Question

question 5 of 10 step 1 of 1 simplify the following expression. ( i^{108} )

Explanation:

Step1: Recall $i$ cycle property

$i^1=i,\ i^2=-1,\ i^3=-i,\ i^4=1$; cycle length=4

Step2: Divide exponent by 4

$\frac{108}{4}=27$, remainder=0

Step3: Match remainder to cycle

Remainder 0 corresponds to $i^4$

Answer:

1