Question 528384
Please explain to me how to do these types of problems: i^55
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i^1 = 1
i^2 = -1
i^3 = -i
i^4 = 1
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{{{i^(4n) = 1}}}
{{{i^55 = i^52*i^3 = 1*i^3}}}
{{{i^55 = -i}}}
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Divide the exponent by 4.
55/4 = 13 remainder 3
{{{i^55 = i^remainder}}}