Find the power of i.
-$\mathrm { i } ^ { 20 }$
A) $i$
B) $- 1$
C) 1
D) $- \mathrm { i }$

Name: Find the power of i. -$\mathrm { i } ^ { 20 }$ A) $i$ B) $- 1$ C) 1 D) $- \mathrm { i }$
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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 20 is a multiple of 4 ($20 = 4 \times 5$), $i^{20} = (i^4)^5 = 1^5 = 1$.

Find the Power of I i20\mathrm { i } ^ { 20 }i20

Find the Power of I $\mathrm { i } ^ { 20 }$