SOLUTION: Simplify. Write answer with positive exponents. (b-2) ______-2 (b-5) I can't type this to look right. It should be on top b to the negative 2 power over b to the negative

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Question 290467: Simplify. Write answer with positive exponents.
(b-2)
______-2
(b-5)
I can't type this to look right. It should be on top b to the negative 2 power over b to the negative 5 power. The entire fraction is in parenthesis with that to the negative 2 power on the top it shows. Please help me solve. thank you.
I thought you multiply so b to the positive 4 over b to the positive 4 would equal 1 but I was marked wrong.
Found 2 solutions by ankor@dixie-net.com, nerdybill:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify. Write answer with positive exponents.
(b-2)
______-2
(b-5)
Assume you mean
%28%28b%5E%28-2%29%29%2F%28b%5E%28-5%29%29%29%5E%28-2%29
You can do this a couple ways, here is one way:
%28%28b%5E%28-2%2A-2%29%29%2F%28b%5E%28-5%2A-2%29%29%29 = b%5E4%2Fb%5E10 = 1%2F%28b%5E%2810-4%29%29 = 1%2Fb%5E6

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!

.
%28b%5E-2%2Fb%5E-5%29%5E-2
First, using exponent rules, make the outer exponent positive:
1%2F%28b%5E-2%2Fb%5E-5%29%5E2
Distribute the exponent to terms inside the parenthesis:
1%2F%28b%5E-4%2Fb%5E-10%29
Make the exponents inside the parenthesis positive:
1%2F%28b%5E10%2Fb%5E4%29
.
b%5E4%2Fb%5E10
.
1%2Fb%5E6