Simplify the power of i.
-$\mathrm { i } ^ { 71 }$
A) $- \mathrm { i }$
B) -1
C) $\mathrm { i }$
D) 1

Name: Simplify the power of i. -$\mathrm { i } ^ { 71 }$ A) $- \mathrm { i }$ B) -1 C) $\mathrm { i }$ D) 1
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Question

Quizplus · Accepted Answer

The powers of i cycle every four: $i^1 = i$, $i^2 = -1$, $i^3 = -i$, $i^4 = 1$, and then it repeats. Since 71 mod 4 is 3, $\mathrm{i}^{71} = \mathrm{i}^3 = -\mathrm{i}$.

Simplify the Power of I i71\mathrm { i } ^ { 71 }i71

Simplify the Power of I $\mathrm { i } ^ { 71 }$