The problem in particular I'm having trouble with is $\displaystyle x^(-2/3) = (1/4)$.

I think I did everything correctly when I got stuck at $\displaystyle x^1 = (1/4)^(-3/2)$

Since I'm new to the MATH tags, that's supposed to be:

x^(-2/3) = (1/4)

and

x^1 = (1/4)^(-3/2), respectively.

Would I continue on to $\displaystyle x = 4^(2/3)$ (x = 4^(2/3))which would be simple from there, or another method?