Simplify i^3*4

Problem

i^3⋅4

Solution

1. Identify the components of the expression, which consists of the imaginary unit i raised to the third power multiplied by the constant 4

2. Recall the powers of the imaginary unit i where i^1=i and i^2=−1

3. Evaluate i^3 by breaking it down into i^2⋅i

4. Substitute the value of i^2 into the expression to find i^3=−1⋅i=−i

5. Multiply the result by the constant 4 to reach the final simplified form.

Final Answer

i^3⋅4=−4*i

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