1. Tardigrade
  2. Question
  3. Mathematics
  4. i57+(1/i125) , is equal to

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. $i^{57}+\frac{1}{_{i}125}$ , is equal to

Complex Numbers and Quadratic Equations

Solution:

$i^{4n}=1$ and $i^{4n+1}$
$=i\left(n \in N\right)$
$\therefore \, i^{57}+\frac{1}{i^{125}}=i+\frac{1}{i}$
$=i-i$
$=0$