SOLUTION: Simplify and write with positive exponents only (x^2)^-3(x^-2) divided by (x^2)-4

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Question 40368: Simplify and write with positive exponents only
(x^2)^-3(x^-2) divided by (x^2)-4
Answer by junior403(76) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify and write with positive exponents only
%28x%5E2%29%5E-3%28x%5E-2%29%2F%28x%5E2%29%5E-4
First we can simplify the numerator and the denominator by using the rules for multiplying exponents.
%28x%5E-6%29%28x%5E-2%29%2F%28x%5E-8%29
Then we can add the exponents in the numerator...
%28x%5E-8%29%2F%28x%5E-8%29
Then we perform the indicated operation...
%28x%5E-8%29%2F%28x%5E-8%29=+1
The final result is 1
I hope this helps
Good Luck!