Powers of Iota - Practice Questions & MCQ

The square of any real number, whether it is positive or negative or zero is always non-negative, i.e. x² ≥ 0 for all x ∈ R. 

Hence, the equation x² + 1 = 0 is not satisfied for any real value of x or not solvable in real  number system..

Thus, the equation  x² + 1 = 0 has imaginary solution. ‘Eular’ was the first mathematician to introduced the symbol i (read as ‘iota’).  The imaginary number i is defined as the square root of −1 .  

Hence, the equation

Integral Powers of iota (i)

(1) If the power of iota is the whole number

(2) If the power of iota is the negative integer

The sum of four consecutive powers of iota (i) is zero