SOLUTION: 1. How to solve (-i)^-3. 2. Solve ( 1 + 1/i)^4

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: 1. How to solve (-i)^-3. 2. Solve ( 1 + 1/i)^4      Log On


   

Question 933537: 1. How to solve (-i)^-3.
2. Solve ( 1 + 1/i)^4
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
1. How to solve (-i)^-3.
(-i)^-3=1/-i^3=1/-(-i^3)=1/i
2. Solve ( 1 + 1/i)^4
(1+1/i)^4=(1+1/i)^2*(1+1/i)^2
=(1+2/i+1/i^2)^2*(1+2/i+1/i^2)^2
=(1+2/i-1)^2*(1+2/i-1)^2
=(2/i)^2*(2/i)^2
=4/i^2*4/i^2=4/-1*4/-1=16