Simplify i^3*3

Problem

i3⋅3

Solution

1. Identify the components of the expression, which consists of the imaginary unit i raised to the third power multiplied by the constant 3

2. Recall the powers of the imaginary unit i where i1=i i2=−1 and i3=i2⋅i

3. Substitute the value of i2 into the expression for i3

i3=−1⋅i

i3=−i

4. Multiply the result by the constant 3

−i⋅3=−3*i

Final Answer

i3⋅3=−3*i

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