Simplify i^4*5

Problem

i4⋅5

Solution

1. Identify the power of the imaginary unit i

2. Recall the definition of i where i2=−1

3. Evaluate i4 by expressing it as a power of i2

i4=(i2)2

4. Substitute −1 for i2

(−1)2=1

5. Multiply the result by the constant 5

1⋅5=5

Final Answer

i4⋅5=5

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