Find the value of the Complex number:i²⁰⁴⁹ is

1.	Find the value of the Complex number:i²⁰⁴⁹ is
Answer» SOLUTION TO DETERMINE The VALUE of the complex number $\sf{ {i}^{2049} }$ CONCEPT TO BE IMPLEMENTED Complex Number A complex number z = a + ib is defined as an ORDERED pair of Real numbers ( a, b) that satisfies the following conditions : (i) Condition for equality : (a, b) = (c, d) if and only if a = c, b = d (ii) Definition of addition : (a, b) + (c, d) = (a+c, b+ d) (iii) Definition of multiplication : (a, b). (c, d) = (ac-bd , ad+bc ) Of the ordered pair (a, b) the first component a is CALLED Real part of z and the second component b is called Imaginary part of z EVALUATION Here the given complex number is $\sf{ {i}^{2049} }$ We simplified the number as below $\sf{ {i}^{2049} }$ $\sf{ = {i}^{2048 + 1} }$ $\sf{ = {i}^{2048} \times i }$ $\sf{ = { ({i}^{2} )}^{1024} \times i }$ $\sf{ = { ( - 1 )}^{1024} \times i }$ $\sf{ = 1 \times i }$ $\sf{ = i }$ ━━━━━━━━━━━━━━━━ Learn more from Brainly :- 1. if a+ib/c+id is purely real complex number then prove that ad=bc brainly.in/question/25744720 2. Prove z1/z2 whole bar is equal to z1 bar/z2 bar. Bar here means CONJUGATE brainly.in/question/16314493

Answer»