Answers:
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Explanation:
By definition,
Squaring both sides gets us
Then multiply both sides by i to get
Repeat the last step and you should get
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Notice we have this pattern going on:
Once we reach i^4, we start the process over again.
It repeats every 4 terms.
This means we'll divide the exponent over 4 and look at the remainder. We ignore the quotient completely.
157/4 = 39 remainder 1
That remainder 1 is the exponent of the simplified term
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Similarly,
315/4 = 78 remainder 3
So
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102/4 = 25 remainder 2
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76/4 = 19 remainder 0