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Simplify. i^221 please help
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4 votes
Simplify. i^221 please help

User David Silva
by
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1 Answer

5 votes

221 = 220 + 1 = 4 * 29 + 1

So

i ²²¹ = i ²²⁰ i ¹ = i ⁴*²⁹ i = (i ⁴)²⁹ i = 1²⁹ i = i

since i ⁴ = 1.

User Sahil Sareen
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