mack9003 mack9003
  • 26-11-2018
  • Mathematics
contestada

what is the value of 5^3i^9

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gmany
gmany gmany
  • 27-11-2018

[tex]i=\sqrt{-1}\to i^2=-1\\\\5^3=5\cdot5\cdot5=125\\\\i^9=i^8\cdot i=(i^2)^4i=(-1)^4i=1i=i\\\\\boxed{5^3i^8=125i}[/tex]

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