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Mrs.Math101

Simplify i231 where i is the imaginary unit and is defined as: i = sqrt(-1).

  • 2 years ago
  • 2 years ago

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  1. kirihara
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    I think the answer would be -1

    • 2 years ago
  2. kirihara
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    yup -1

    • 2 years ago
  3. satellite73
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    no i do not think it is -1

    • 2 years ago
  4. satellite73
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    \[i^{231}\] take the integer remainder when dividing 231 by 4 and you get 3 (since 4 divides 228 evenly) therefore \[i^{231}=i^3=-i\]

    • 2 years ago
  5. satellite73
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    \[i^0=1,i^1=i,i^2=-1,i^3=-i,i^4=1, ...\]

    • 2 years ago
  6. wasiqss
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    answer is indeed -i

    • 2 years ago
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