Simplify i^4*2

Problem

i4⋅2

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

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

1⋅2

5. Multiply the constants to find the final result.

2

Final Answer

i4⋅2=2

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