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What is the value of i3i^3?

Full solution

Q. What is the value of i3i^3?
  1. Identify Exponent: i3i^3 Is exponent even or odd? Exponent: 33 33 is an odd number.
  2. Convert to i Expression: Step 22: Convert i3i^3 into an expression with ii as the base. i3=iimesi2i^3 = i imes i^2
  3. Evaluate i2i^2: Step 33: Evaluate i2i^2. i2=1i^2 = -1
  4. Substitute in Expression: Step 44: Substitute i2i^2 with 1-1 in the expression. i3=iimes(1)i^3 = i imes (-1)
  5. Simplify Result: Step 55: Simplify the expression. i3=ii^3 = -i

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