jamesbo
Simplify i36
A) 1
B) 1
C) i
D) i



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pratu043
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What's i?

jamesbo
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not sure, the question just tells me to simplify i36 and my lesson doesnt give anything on it

Kdwndr
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A) 1

pratu043
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Can you explain?

2bornot2b
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\[i^{36}=(i^4)^9=1^9=1\]

phi
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You must be i^36 (i to the 36 power) where i=sqrt(1)
sqrt(1)*sqrt(1)= 1 and 1*1=1
so sqrt(1)^4 (i^4) = +1
and (i^4)^9 = 1

pratu043
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oh, I didn't take it in that sense.....

pratu043
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I never guessed it would involve exponents.

Hero
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I like 2bornot2b's approach