SOLUTION: find all real and/or complex solutions: (x+1)^(-3/2)=8

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Question 4027: find all real and/or complex solutions:
(x+1)^(-3/2)=8
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B1%29%5E%28-3%2F2%29=8

%28x%2B1%29%5E%283%2F2%29=1%2F8. The left hand side can be thought of as %28%28x%2B1%29%5E%281%2F2%29%29%5E3, in which case we take the cube root of both sides to give:

%28x%2B1%29%5E%281%2F2%29+=+1%2F2. Now we square both sides, to give:

%28x%2B1%29+=+1%2F4. So, the answer is x=-3/4

jon.