Question

01 ) afetue

a) i⁹=
b) i¹⁴=
c) i ⁶⁰=
d) i⁹⁹=
e) i³ =
f) i⁵ =
g) i¹ =

​

Answer 1

i²=[√(-1)]² =-1

a) i⁹= i * i⁸ =i*(i²)⁴ =i*(-1)⁴=1

b) i¹⁴= (i²)⁷ =(-1)⁷ =-1

c) i ⁶⁰= (i²)³⁰=(-1)³⁰=1

d) i⁹⁹= i*(i⁹⁸)=i*(i²)⁴⁹=i*(-1) =-i

e) i³ = i*i²=-i

f) i⁵ = i*(i²)²=i

g) i¹  = i