Simplify i^3*9

Problem

i^3⋅9

Solution

1. Identify the power of the imaginary unit i

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

3. Rewrite i^3 as the product of i^2 and i

i^3=i^2⋅i

4. Substitute −1 for i^2 to simplify the power.

i^3=−1⋅i

i^3=−i

5. Multiply the simplified imaginary part by the constant 9

−i⋅9=−9*i

Final Answer

i^3⋅9=−9*i

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