Question

Express $i^{-35}$ in the form of $a + ib$.

• A. $i$
• B. $-i$
• C. $1$
• D. $-2$

Answer 1

Answer: (A)

$i$

Answer 2

$i^{-35}=\frac{1}{i^{35}}=\frac{1}{\left(i^{2}\right)^{17} i}$ $=\frac{1}{-i}\times\frac{i}{i}=\frac{i}{-i^{2}}$ $=i$