SOLUTION: Simplify each of the following expressions. Write your answers with positive exponents only. (x^2)^-3(x^-2) / (x^2)^-4

Algebra ->  Algebra  -> Exponents -> SOLUTION: Simplify each of the following expressions. Write your answers with positive exponents only. (x^2)^-3(x^-2) / (x^2)^-4       Log On

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Question 77076: Simplify each of the following expressions. Write your answers with positive exponents only.
(x^2)^-3(x^-2) / (x^2)^-4

Answer by Edwin McCravy(8999) About Me  (Show Source):
You can put this solution on YOUR website!

Simplify each of the following expressions. 
Write your answers with positive exponents only.
%28x%5E2%29%5E%28-3%29%28x%5E%28-2%29%29+%2F+%28x%5E2%29%5E%28-4%29

In the first factor on top, multiply the inner 
exponment 2 by the outer exponent -3, getting 
an exponent of -6  On the bottom, multiply the 
inner exponent 2 by the outer exponent -4,
getting an exponent of -8

%28x%5E%28-6%29%2Ax%5E%28-2%29%29+%2F+x%5E%28-8%29

Combine the exponents of x on top

x%5E%28-6-2%29+%2Fx%5E%28-8%29

x%5E%28-8%29+%2Fx%5E%28-8%29

These cancel so the answer is 1

Edwin