Question

find the value of i71
$i {}^{71}$






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Answer 1

i^71 = (-i)
explanation
i = i
i^2 = -1
i^3 = -i
i^4 = 1

So, the trick is if you devide the number by 4 and get the leftover thats the answer. and you have to memorize this 4 .
71/4 is = 68 + 3
here 68 is devideable by 4 but 3 is not

so i to the power 71 is equal to i^3 which is equal to -i