Question 54272
Exponential rules that apply to this problem:
1. {{{highlight((a^m)^n=a^(m*n))}}}
2. {{{highlight((a^m)(a^n)=a^(m+n))}}}
3. {{{highlight(a^(-m)=1/(a^m))}}}
:
{{{(2x^-3)^4(3x^5)^-2}}}
{{{2^(1*4)x^(-3*4)*3^(1*-2)x^(5*-2)}}} Rule 1
{{{2^4x^-12*3^-2*x^-10}}} 
{{{2^4*3^-2*x^(-12+(-10))}}} Rule 2
{{{2^4*3^-2*x^-22}}}
{{{2^4/(3^2*x^22)}}} Rule 3
{{{highlight(16/(9*x^22))}}}  (2*2*2*2=16 and 3*3=9)
Happy Calculating!!!