Simplify i^3*3

Problem

i^3⋅3

Solution

1. Identify the components of the expression, which consists of the imaginary unit i raised to the third power multiplied by the constant 3

2. Recall the powers of the imaginary unit i where i^1=i i^2=−1 and i^3=i^2⋅i

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

i^3=−1⋅i

i^3=−i

4. Multiply the result by the constant 3

−i⋅3=−3*i

Final Answer

i^3⋅3=−3*i

Want more problems? Check here!