Question

compute ( i^{-4} ).

Explanation:

Step1: Rewrite negative exponent

$i^{-4} = \frac{1}{i^4}$

Step2: Use $i^2=-1$ to simplify $i^4$

$i^4 = (i^2)^2 = (-1)^2 = 1$

Step3: Substitute $i^4=1$ into the fraction

$\frac{1}{i^4} = \frac{1}{1}$

Answer:

1