SOLUTION: my younger brother has the problem i to the power of 4 that is all the question has to it can you show us how to do the problem so that we can prepare for the final exam in decembe

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: my younger brother has the problem i to the power of 4 that is all the question has to it can you show us how to do the problem so that we can prepare for the final exam in decembe      Log On


   

Question 361430: my younger brother has the problem i to the power of 4 that is all the question has to it can you show us how to do the problem so that we can prepare for the final exam in december
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
i%5E4=i%5E%282%2A2%29=%28i%5E2%29%5E2=%28-1%29%5E2=1, which means that i%5E4=1


Recall that i=sqrt%28-1%29. So i%5E2=-1