SOLUTION: Simplify: 1/9 -5/2. which is one over nine with negative 5/2 exponent.

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Question 197047: Simplify: 1/9 -5/2. which is one over nine with negative 5/2 exponent.
Found 2 solutions by mathsteacher, josmiceli:
Answer by mathsteacher(28) About Me  (Show Source):
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F9%29%5E%28-5%2F2%29
%28%281%2F9%29%5E%281%2F2%29%29%5E%28-5%29%29
%281%2F3%29%5E%28-5%29
1%2F%281%2F3%29%5E5
1%2F%281%2F243%29
243 answer
check answer:
%281%2F9%29%5E%28-5%2F2%29+=+243
%281%2F9%29%5E%28-5%2F2%29+=+3%5E5
Multiply both sides by %281%2F9%29%5E%285%2F2%29
%281%2F9%29%5E%28-5%2F2%29%2A%281%2F9%29%5E%285%2F2%29+=+3%5E5%2A%281%2F9%29%5E%285%2F2%29
The left side is the same as a%5Eb+%2Aa%5E%28-b%29+=+a%5E0
and a%5E0+=+1
1+=+3%5E5%2A%281%2F9%29%5E%285%2F2%29
The right side is the same as a%5Ec%2Ab%5Ec+=+%28a%2Ab%29%5Ec
1+=+%283%2A%281%2F9%29%5E%281%2F2%29%29%5E5
1+=+%283%2A%281%2F3%29%29%5E5
1+=+1%5E5
1+=+1
OK