## Trigonometry (11th Edition) Clone

$\frac{1}{i}=i^{-1}$
Since $i^{4}=1$, we write the given power as a product involving $i^{4}$: $i^{-41}=\frac{1}{i^{41}}=\frac{1}{i^{40}\times i}=\frac{1}{(i^{4})^{10}\times i}=\frac{1}{(1)^{10}\times i}=\frac{1}{i}=i^{-1}$