Simplify i^3*7

Problem

i3⋅7

Solution

1. Identify the power of the imaginary unit i

2. Apply the definition of i2 which is 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 7

6. Simplify the final expression to −7*i

Final Answer

i3⋅7=−7*i

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