SOLUTION: Hi I need help with this problem. Simplify the complex expression by multiplying. i to the 7th power and then in ( ) is 56 over 7i to the 4th. (It's 7i to the 4th power on th

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hi I need help with this problem. Simplify the complex expression by multiplying. i to the 7th power and then in ( ) is 56 over 7i to the 4th. (It's 7i to the 4th power on th      Log On


   



Question 258805: Hi I need help with this problem.
Simplify the complex expression by multiplying.
i to the 7th power and then in ( ) is 56 over 7i to the 4th. (It's 7i to the 4th power on the bottom of the fraction in parentheses)
Thanks

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify the complex expression by multiplying.
i to the 7th power and then in ( ) is 56 over 7i to the 4th.
(It's 7i to the 4th power on the bottom of the fraction in parentheses
:
Assume this is the problem:
i%5E7%2856%2F%287i%5E4%29%29
Successive powers of i can be simplified
we know that
i%5E7+=+i%5E3+%2A+i%5E4+=+-i
and
i%5E4+=+i%5E2+%2A+i%5E2+=+1
so we have
-i%2856%2F%287%281%29%29%29
-8i
: