Simplify i^3*8

Problem

i3⋅8

Solution

1. Identify the power of the imaginary unit i

2. Apply the property of imaginary numbers where i2=−1

3. Rewrite the expression by breaking down the power: i3=i2⋅i

4. Substitute −1 for i2 to get (−1)⋅i=−i

5. Multiply the result by the constant 8

6. Simplify the final expression to −8*i

Final Answer

i3⋅8=−8*i

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