Question

activity to interpret the meaning of iota and its integral power geometrically

Answer 1

Answer:

i⁴ⁿ = 1

i⁴ⁿ⁺¹ = i

i⁴ⁿ⁺² = -1

i⁴ⁿ⁺³ = -i

Step-by-step explanation:

iota  is imaginary Number

iota is represented by i

iota = i  = √(-1)

iota² = i² = (√(-1))² =  - 1

iota³ = i³ = (√(-1))³ = (√(-1))² *  (√(-1))  = (-1) * i   = - i

iota⁴ = i⁴ = (√(-1))⁴ = (√(-1))² *  (√(-1))²  = (-1) *(-1)   =  1

i =  i

i² = - 1

i³ = - i

i⁴ = 1

i⁴ⁿ = 1

i⁴ⁿ⁺¹ = i

i⁴ⁿ⁺² = -1

i⁴ⁿ⁺³ = -i