Question 63923
I don't really know what you mean.  What did you mean by ^3?  Did you mean the third root of x^2?  If so, this is what you do.
Solve the equation. 


3rd rt(x^2) = 4
(3rd rt(x^2))^3=4^3
x^2=64
{{{sqrt(x^2)=+-sqrt(64)}}}
x=+\-8  
:
Check for extraneous solutions:
3rd rt((8)^2)=4
3rd rt (64)=4
4=4  x=8 checks out.
3rd  rt((-8)^2)=4
3rd rt(64)=4
4=4  x=-8 also checks out.
Happy Calculating!!!