Question 107638
Remember the exponent rules
{{{x^m*x^n=x^(m+n)}}}
{{{x^m/x^n=x^(m-n)}}}
{{{(x^m)^n=x^(m*n)}}}
Now for your equation,
{{{((a^-2)^3(a^4)^2)/(a^3)^(-3)=(a^(-2*3)a^(4*2))/a^(-3*3)}}}  
{{{((a^-2)^3(a^4)^2)/(a^3)^(-3)=(a^(-6)a^(8))/a^(-9)}}} 
{{{((a^-2)^3(a^4)^2)/(a^3)^(-3)=a^((-6+8-(-9)))}}} 
{{{((a^-2)^3(a^4)^2)/(a^3)^(-3)=a^11}}}