For any positive integer n,(--1)^ 4 n+3 = ?

MCQ

For any positive integer $n,(-\sqrt{-1})^{4 n+3}=$ ?

A
1
B
i
C
-i
D
-1

✓

Answer

(b) i
Explanation: $(-\sqrt{-1})^{4 n+3}=(- i )^{4 n +3}=\left\{(- i )^4\right)^{ n }(-1)^3=1 \times(- i ) \times(- i ) \times(- i )= i ^2 \times(- i )=-1 \times(- i )= i$

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