Simplify i^4*9

Problem

i^4⋅9

Solution

1. Identify the power of the imaginary unit i

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

3. Evaluate i^4 by expressing it as a square of i^2

i^4=(i^2)^2

4. Substitute −1 for i^2

(−1)^2=1

5. Multiply the result by 9

1⋅9=9

Final Answer

i^4⋅9=9

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