Simplify i^3

Problem

i3

Solution

1. Identify the definition of the imaginary unit i where i2=−1

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

i3=i2⋅i1

3. Substitute the value of i2 into the expression.

i3=(−1)⋅i

4. Simplify the resulting product.

i3=−i

Final Answer

i3=−i

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