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Why does the expression i to the power 4n+2 is always equal to -1​

User Phyatt
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1 Answer

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Answer:

See Below.

Explanation:

We are given:


i^(4n+2)

Using exponent properties:


=i^(4n)\cdot i^2

Rewriting:


=(i^4)^n\cdot i^2

Since i⁴ = 1 and i² = -1:


=(1)^n\cdot -1

1 to any power is still 1:


=1\cdot -1 = -1

User CharlieB
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