Question

write the power of $i$ as $i$, $-1$, $-i$, or $1$.
$i^{14}$
$i^{14}=\square$ (simplify your answer.)

Explanation:

Step1: Factor exponent by 4

$i^{14} = i^{4 \times 3 + 2} = (i^4)^3 \times i^2$

Step2: Substitute $i^4=1$ and $i^2=-1$

$(1)^3 \times (-1) = 1 \times (-1)$

Step3: Calculate final product

$1 \times (-1) = -1$

Answer:

$-1$