Question

If i²=1,then the value of i⁴n, where n E N is
1)0 2)1 3)i 4)-i​

Answer 1

Answer:

option 2)1

Step-by-step explanation:

${i}^{4n} = 1$

Answer 2

Step-by-step explanation:

Given that i²=-1

i^4n

If n=1 then i^4(1)=i⁴=(i²)²=(-1)²=1

If n=2 then i^4(2)=i⁸=(i⁴)²=1²=1

if we continue like this we get 1 for any natural number

so, i^4n=1