Simplify i^6*5

Problem

i^6⋅5

Solution

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

2. Rewrite the power of i using the property of exponents to express i^6 in terms of i^2

i^6=(i^2)^3

3. Substitute −1 for i^2 into the expression.

(−1)^3=−1

4. Multiply the result by the constant 5

−1⋅5=−5

Final Answer

i^6⋅5=−5

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