anonymous
  • anonymous
Simplify i^16 A)-1 B)1 C)i D)-i
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Astrophysics
  • Astrophysics
Hint: \[i^2 = -1\]
anonymous
  • anonymous
X it by 16?
Astrophysics
  • Astrophysics
No, what if I write it as \[i^{16} = i^2 \times i^2 \times i^2....\] 8 times

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Jhannybean
  • Jhannybean
\[(i^2)^8 =~?\]
Astrophysics
  • Astrophysics
\[(i^4)^4\]
anonymous
  • anonymous
1?
Astrophysics
  • Astrophysics
Yup!
Jhannybean
  • Jhannybean
\[(i^2)^{32/4}\]
Jhannybean
  • Jhannybean
Lol ok im done.
Astrophysics
  • Astrophysics
lol
anonymous
  • anonymous
jhannybean don't know what you meant on that last comment you put lol
Jhannybean
  • Jhannybean
Oh, i said im done trying to find derivations of the same thing : \(i^{16}\) lol.
anonymous
  • anonymous
I was talking about where you got 32/4
anonymous
  • anonymous
any exponent of i divisible by 4=1 ie i^16, i^32, i^400 all = 1
anonymous
  • anonymous
I would had never known that if you did not just tell me so thank you:)
anonymous
  • anonymous
:)
Astrophysics
  • Astrophysics
32/4 = 8

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