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What is the value of i8i^8?

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Full solution

Q. What is the value of i8i^8?
  1. Know i2=−1i^2 = -1: We know that i2=−1i^2 = -1.
  2. Calculate i4i^4: Calculate i4i^4. i4=(i2)2=(−1)2=1i^4 = (i^2)^2 = (-1)^2 = 1.
  3. Calculate i8i^8: Calculate i8i^8. i8=(i4)2=12=1i^8 = (i^4)^2 = 1^2 = 1.

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