SOLUTION: simplify by writing with only positive exponents (x^2)^-3(x^-2) ___________ __ (x^2)^-4

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Question 82701: simplify by writing with only positive exponents
(x^2)^-3(x^-2)
______________
(x^2)^-4
Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
simplify by writing with only positive exponents
(x^2)^-3(x^-2)
______________
(x^2)^-4
Lets first look at each term
%28%28x%5E2%29%5E%28-3%29%29=x%5E%28-6%29=1%2Fx%5E6
%28x%5E%28-2%29%29=x%5E%28-2%29=1%2Fx%5E2
%28x%5E2%29%5E%28-4%29=x%5E%28-8%29=1%2Fx%5E8
We can now write the expression as:
%281%2Fx%5E6%29%281%2Fx%5E2%29%2F%281%2Fx%5E8%29 which equals
%281%2Fx%5E8%29%2F%281%2Fx%5E8%29=1


CK
%28x%5E%28-6%29%29%28x%28-2%29%29%2Fx%28-8%29 and this equals
x%5E%28-8%29%2Fx%5E%28-8%29=1
1=1

When multiplying, you add exponents; when raising to a power, you multiply exponents.

Hope this helps-----ptaylor