Simplify i^4

Problem

i^4

Solution

1. Identify the definition of the imaginary unit i where i^2=−1

2. Rewrite the expression using the laws of exponents to express i^4 in terms of i^2

i^4=(i^2)^2

3. Substitute the value of i^2 into the expression.

i^4=(−1)^2

4. Evaluate the square of −1

(−1)×(−1)=1

Final Answer

i^4=1

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