anonymous
  • anonymous
Simplify i36 A) 1 B) -1 C) -i D) i
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
What's i?
anonymous
  • anonymous
not sure, the question just tells me to simplify i36 and my lesson doesnt give anything on it
anonymous
  • anonymous
A) 1

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

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