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

Mathematics
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What's i?
not sure, the question just tells me to simplify i36 and my lesson doesnt give anything on it
A) 1

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Can you explain?
\[i^{36}=(i^4)^9=1^9=1\]
  • phi
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
oh, I didn't take it in that sense.....
I never guessed it would involve exponents.
I like 2bornot2b's approach

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