Simplify i^4*1

Problem

i^4⋅1

Solution

1. Identify the properties of the imaginary unit i where i=√(,−1)

2. Recall the powers of i specifically that i^2=−1

3. Calculate the value of i^4 by squaring i^2

i^4=(i^2)^2

i^4=(−1)^2

i^4=1

4. Multiply the result by 1

1⋅1=1

Final Answer

i^4⋅1=1

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