Mark the correct answer for: i ^ -38 = ? - Vidyadip

MCQ

Mark the correct answer for: $i ^{-38}=$ ?

A
i
B
-i
C
-1
D
1

✓

Answer

(c)-1
Explanation: $i ^{-38}=\frac{1}{i^{38}} \times \frac{i^2}{i^2}=\frac{-1}{i^{-40}}=\frac{-1}{\left(i^4\right)^{10}}=\frac{-1}{i^{10}}=\frac{-1}{1}=-1$

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