Answer:
![\sqrt[4]{x^5}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E5%7D)
Step-by-step explanation:
A fraction exponent converts into a radical. The denominator is the index of the radical (farthest left number) and the numerator is the exponent of the base inside (the farthest right number). The base of the fraction exponent is the base number in green. To write this expression, simply the exponents into one exponent and one base.

Now convert to the radical.
![x^{\frac{5}{4}} = \sqrt[4]{x^5}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B5%7D%7B4%7D%7D%20%3D%20%5Csqrt%5B4%5D%7Bx%5E5%7D)
So volume of a cube=edge legnth cubed so take the cube root of 1000 and get 10
the side legnth is 10 feet