Simplify i^6

Problem

i^6

Solution

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

2. Rewrite the expression using the laws of exponents to express i^6 in terms of i^2

i^6=(i^2)^3

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

(−1)^3

4. Evaluate the power by multiplying −1 by itself three times.

−1⋅−1⋅−1=−1

Final Answer

i^6=−1

Want more problems? Check here!