Answer:
[tex]i^{224}[/tex] = 1.
Step-by-step explanation:
Given : [tex]i^{224}[/tex].
To find : Which is equivalent .
Solution : We have given [tex]i^{224}[/tex].
By the rule :
[tex]i^{2}[/tex] = -1.
[tex]i^{4}[/tex] = [tex](i^{2})^{2}[/tex]
[tex]i^{4}[/tex] = [tex](1)^{2}[/tex] = 1
So, We can write the
[tex]i^{224}[/tex] = [tex](i^{4})^{56}[/tex].
[tex]i^{224}[/tex] = [tex](1)^{56}[/tex].
[tex]i^{224}[/tex] = 1.
Therefore, [tex]i^{224}[/tex] = 1.
