Simplify i^5*4

Problem

i5⋅4

Solution

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

2. Simplify the power of i by using the cyclic nature of its powers: i1=i i2=−1 i3=−i and i4=1

3. Rewrite the expression i5 as a product of i4 and i

i5=i4⋅i

4. Substitute the value i4=1 into the expression.

i5=1⋅i

i5=i

5. Multiply the simplified result by the constant 4.

i⋅4=4*i

Final Answer

i5⋅4=4*i

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