Simplify i^3*1

Problem

i3⋅1

Solution

1. Identify the identity property of multiplication, which states that any value multiplied by 1 remains unchanged.

i3⋅1=i3

2. Rewrite the power of the imaginary unit i by breaking it into a product of i2 and i

i3=i2⋅i

3. Substitute the definition of the imaginary unit, where i2=−1

−1⋅i

4. Simplify the expression to find the final value.

−i

Final Answer

i3⋅1=−i

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