There are a couple of problems I can't understand as usual. I tried to solve them, therefore I will give what I believe is the solution next to it.

(1).$\displaystyle \sqrt[3]{-125x^3z^1^5}$ Solution:$\displaystyle -5x&z^3$

(2).$\displaystyle \sqrt[3]{\frac{-125x^5y^4z^7}{8x^2y^1^0z^4}}$ This one is extremely of what its really supposed to be, I can't understand how to take the powers very well. Solution:$\displaystyle \frac{-5xyz^2\sqrt[3]{x^2yz}}{2y^3z\sqrt[3]{x^2yz}}$

(3).$\displaystyle \sqrt[3]{\frac{8}{9}(\frac{3a^2b}{a^5b4})^5}$

Solution:I can't simplify the fraction 8/9 I'm asuming $\displaystyle \frac{2}{\sqrt[3]{9}}$