See, when you have a fractional exponent, you can turn it into a square root. The 1/3 power is the same as the cubed root. As you can see in my example, I took the cubed root of 8 which is a perfect 2. I brought that to the outside.
Now this is the kind of tricky part. You have to break the exponents into 3rds. Turn the x^4 into x^3*x^1. The x^3 has a perfect cubed root of just x, now bring that out but keep the other x underneath the radical. Repeat this for the other exponents where it actually applies.
In the end, I brung all the perfect roots out and kept the rest underneath the radical. It turns out the two radicals are the same and they cancel. The 2’s also cancel. You’re stuck with:
xz^3
