Answer
$-1$
Work Step by Step
Apply exponent rule: $\displaystyle \quad a^{-n}=\frac{1}{a^{n}}$
$i^{-14}=\displaystyle \frac{1}{i^{14}}$
Calculate $i^{14}$:
$i^{14}=i^{2\cdot 7} \qquad$...Apply: $a^{mn}=(a^{m})^{n}$
$=(i^{2})^{7}\qquad$...Apply: $\quad i^{2}=-1$
$=(-1)^{7} \qquad$...Apply: $(-a)^{n}=-a^{n},$ if $n$ is odd.
$=-1$