Simplify the power of i.
-$\mathrm { i } ^ { 59 }$
A) - $\mathrm { i }$
B) $- 1$
C) $\mathrm { i }$
D) 1

Name: Simplify the power of i. -$\mathrm { i } ^ { 59 }$ 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: $i^1 = i$, $i^2 = -1$, $i^3 = -i$, $i^4 = 1$. For $i^{59}$, divide 59 by 4, which gives a remainder of 3. Thus, $i^{59} = i^3 = -i$.

Simplify the Power of I i59\mathrm { i } ^ { 59 }i59

Simplify the Power of I $\mathrm { i } ^ { 59 }$