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choli [55]
4 years ago
6

Simplify i37. (1 point)

Mathematics
1 answer:
kakasveta [241]4 years ago
4 0

Answer:

i

The problem:

i^{37}

Step-by-step explanation:

Since the pattern repeats per every 4 and i^4=1, I will divide 37 by 4.

37=4(9)+1

So i^{4(9)+1}

=(i^4)^9(i^1)

=(1)^9(i)

=(1)(i)

=i

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