Evaluate the value of the expression i97i95i96SolutionWe kno

Evaluate the value of the expression (i^97+i^95)/i^96=?

We know that sqrt (-1) = i or i^2 = -1. Also i^4 = (-1)^2 = 1.

Now we have to find the value of (i^97+ i^95) / i^96

(i^97 + i^95) / i^96

dividing each term of the numerator by the denominator

=> i^97 / i^96 + i^95 / i^96

simplifying

=> i + 1/ i

making the denominator common

=>( i^2 + 1) / i

as i^2 = -1

=> (1+ -1) / i

=> (1 - 1) / i

=> 0

We get this because if the numerator is 0, it does not matter what the denominator is

Therefore ( i^97+i^95) / i^96 = 0