Question 77076
<pre><font size = 5><b>
Simplify each of the following expressions. 
Write your answers with positive exponents only.
{{{(x^2)^(-3)(x^(-2)) / (x^2)^(-4)}}}

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

{{{(x^(-6)*x^(-2)) / x^(-8)}}}

Combine the exponents of x on top

{{{x^(-6-2) /x^(-8)}}}

{{{x^(-8) /x^(-8)}}}

These cancel so the answer is 1

Edwin</pre>