An algebra problem by Efren Medallo

Algebra Level 3

If $\large \frac {1}{i}$ could be expressed as $i^{n}$ , where $n$ is an integer, what is the value of $n$ ?

Note: $i = \sqrt{-1}$ .

Cannot be determined 4 None of these 7 1 3 2 -1

1 solution

Efren Medallo
Jun 9, 2015

$n$ could take any value of the form $4k - 1$ , where $k$ is any integer.

How is this not -1?

Tommy Brouse - 5 years, 11 months ago

Well, it can be -1, but it can also be 3, or 7, or 11, or any number of the form I have stated above. Since it was not stated in the question whether $n$ has to be the smallest positive or negative integer or whatsoever, we cannot directly determine what the value of $n$ is.

Efren Medallo - 5 years, 11 months ago

An algebra problem by Efren Medallo

1 solution

0 pending reports