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Simplify i^4*3

Problem

i4⋅3

Solution

  1. Identify the power of the imaginary unit i

  2. Recall the definition of i and its powers, where i2=−1

  3. Calculate i4 by squaring i2

i4=(i2)2

i4=(−1)2

i4=1

  1. Substitute the value of i4 back into the original expression.

1⋅3

  1. Multiply the constants to find the final simplified value.

3

Final Answer

i4⋅3=3


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