Question 107636
{{{(-8/27)^(-2/3)=1/((-8/27)^(2/3))}}} 
{{{(-8/27)^(-2/3)=(-27/8)^(2/3)}}} 
Let's look at numerator and denominator separately.
{{{(-27)^(2/3)=((-27)^(1/3))^2=(-3)^2=9}}}
{{{(8)^(2/3)=((8)^(1/3))^2=(2)^2=4}}}
Now back to the equation,
{{{(-8/27)^(-2/3)=(-27/8)^(2/3)}}} 
{{{(-8/27)^(-2/3)=9/4}}}