SOLUTION: Can you please tell me the answer to 5i to the fourth power? I think it is 625. My thought is, if "i" is involved, and a number is to an even power, then it is a positive number.

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Can you please tell me the answer to 5i to the fourth power? I think it is 625. My thought is, if "i" is involved, and a number is to an even power, then it is a positive number.      Log On


   

Question 431744: Can you please tell me the answer to 5i to the fourth power? I think it is 625. My thought is, if "i" is involved, and a number is to an even power, then it is a positive number. If it is to an odd power, then it is a negative number.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
It is 625. But i to an even power is not always positive, and i to an odd number is always imaginary. Basically,

i%5E0+=+1
i%5E1+=+i
i%5E2+=+-1
i%5E3+=+i%28i%5E2%29+=+-i
i%5E4+=+1
i%5E5+=+i and so on.