koose1738 koose1738
  • 25-02-2020
  • Mathematics
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What is i^85 simplified

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jdoe0001 jdoe0001
  • 25-02-2020

let's recall that i⁴ = 1.

[tex]\bf i^{85}\implies i^{84+1}\implies i^{(4\cdot 21)+1}\implies i^{4\cdot 21}\cdot i^1\implies (i^4)^{21}\cdot i\implies (1)^{21}\cdot i\implies i[/tex]

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