Question

Which answer is equal to i^58? A) -i B) -1 C) i D) 1

Answer 1

Since it is positive power, the answer is -1 so it is B.

Answer 2

Answer:

B) - 1.

Step-by-step explanation:

Given  : $i^{58}$.

To find : Solve it.

Solution : We have given   $i^{58}$.

We know that even power of imaginary number is -1 .

$i^{2}$ = -1.

So, $(i^{2})^{2}= 1$.

$(i^{4})= 1$.

We can write  $i^{58}$ as  $(i^{4})^{14}$.

Then  $i^{58}$= $(i^{4})^{14}$ *  $i^{2}$.

Plug  $(i^{4})= 1$ and  $i^{2}$ = -1.

$i^{58}$=  $(1^{14})$ *  $i^{2}$

  $i^{58}$ = 1 *-1.

$i^{58}$ = -1.

Therefore, B) - 1.