Question 59217
Rules we will be using:
{{{highlight((a^m*b^n)^s=a^(ms)*b^(ns))}}}
{{{highlight(a^(-m)=1/a^m)}}}
:
{{{(-125x^(9/5)*y^(-3/2))^(5/3)}}}  notice that {{{(-125)=(-5)(-5)(-5)=(-5)^3}}}
{{{((-5)^3*x^(9/5)*y^(-3/2))^(5/3)}}}
{{{(-5)^(3*(5/3))*x^((9/5)*(5/3))*y^((-3/2)*(5/3))}}}
{{{(-5)^(15/3)*x^(45/15)*y^(-15/6)}}}
{{{(-5)^5*x^3*y^(-5/2)}}}
{{{(-5)^5*x^3/(y^(5/2))}}}
{{{-(3125x^3/(y^(5/2)))}}}
Happy Calculating!!!