Question

if iota^2013 = iota then iota^-2013 =?​

Answer 1

Step-by-step explanation:

Use Power Reduction Rule:

$\tt{i}^{ \tt n}={i}^{n\text{mod }4}$

${ \tt \imath }^{-1}$

Answer:

Step-by-step explanation:

hope it help you.

thanks

Answer 2

Step-by-step explanation:

Iota is an imaginary unit number that is denoted by

i

and the value of iota is √-1 i.e.,

i

= √−1. While solving quadratic equations, you might have come across situations where the discriminant is negative. For example, consider the quadratic equation x2 + x + 1 = 0. If we use the quadratic formula to solve this, we get the discriminant (the part inside the square root) as a negative value.

In such cases, we write √−3 as √−3 = √−1 × √3. This would give the solution of the above quadratic equation to be: x = (−1 ± √3

i

)/2. Hence, the value of iota is helpful in solving square roots with negative values.

Thus, the value of iota is,

i

= √−1.