Answer:
See Below.
Step-by-step explanation:
We are given:
[tex]i^{4n+2}[/tex]
Using exponent properties:
[tex]=i^{4n}\cdot i^2[/tex]
Rewriting:
[tex]=(i^4)^n\cdot i^2[/tex]
Since i⁴ = 1 and i² = -1:
[tex]=(1)^n\cdot -1[/tex]
1 to any power is still 1:
[tex]=1\cdot -1 = -1[/tex]
