Simplify i^3

Problem

i^3

Solution

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

2. Rewrite the expression by breaking the power into a product of lower powers using the rule a^(m+n)=a^m⋅a^n

i^3=i^2⋅i^1

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

i^3=(−1)⋅i

4. Simplify the resulting product.

i^3=−i

Final Answer

i^3=−i

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