+0  
 
-1
51
1
avatar+204 

Evaluate $i^6+i^{16}+i^{-26}$.

 Feb 21, 2021
 #1
avatar+939 
-1

\(i^6 + i^{16} + i^{-26} = i^4\cdot i^2 + (i^4)^4 + \frac{1}{(i^4)^6\cdot i^2} = i^2 + 1 + \frac{1}{i^2} = -1 + 1 + \frac{1}{-1} = \boxed{-1}\)

.
 Feb 21, 2021

23 Online Users

avatar
avatar