Simplify i^3*2

Problem

i^3⋅2

Solution

1. Identify the power of the imaginary unit i

2. Apply the property of imaginary numbers where i^2=−1

3. Rewrite the expression by breaking down the power: i^3=i^2⋅i

4. Substitute −1 for i^2 to get (−1)⋅i=−i

5. Multiply the result by the constant 2

6. Simplify the final product to get −2*i

Final Answer

i^3⋅2=−2*i

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