Evaluate the power of i. $i ^ { 236 }$
A) $1$
B) $i$
C) $- 1$
D) $- i$
E) $0$

Name: Evaluate the power of i. $i ^ { 236 }$ A) $1$ B) $i$ C) $- 1$ D) $- i$ E) $0$
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Question

Quizplus · Accepted Answer

The powers of $i$ cycle in a pattern: $i^1 = i$, $i^2 = -1$, $i^3 = -i$, $i^4 = 1$, and then the pattern repeats. Since 236 is divisible by 4 ($236 = 4 \times 59$), $i^{236} = (i^4)^{59} = 1^{59} = 1$.

Evaluate the Power of I i236i ^ { 236 }i236 A) 111

Evaluate the Power of I $i ^ { 236 }$ A) $1$