Answer:
The cube root of given expression is
.
Step-by-step explanation:
The given expression is
![\sqrt[3]{216x^9y^{18}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216x%5E9y%5E%7B18%7D%7D)
It can be written as
Use the exponent property: 
![\sqrt[3]{216x^9y^{18}}=\sqrt[3]{6^3(x^3)^3(y^6)^{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216x%5E9y%5E%7B18%7D%7D%3D%5Csqrt%5B3%5D%7B6%5E3%28x%5E3%29%5E3%28y%5E6%29%5E%7B3%7D%7D)
![\sqrt[3]{216x^9y^{18}}=\sqrt[3]{(6x^3y^6)^{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216x%5E9y%5E%7B18%7D%7D%3D%5Csqrt%5B3%5D%7B%286x%5E3y%5E6%29%5E%7B3%7D%7D)
![\sqrt[3]{216x^9y^{18}}=6x^3y^6](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216x%5E9y%5E%7B18%7D%7D%3D6x%5E3y%5E6)
Therefore the cube root of given expression is
.
The formula for fractional exponents is
For this particular problem the expression would be written as
1. add 40 to the 40 and 25
2. now you have

3. then you have

4. then square root

5.then round answer to nearest tenth which is
20x1/4=5
Think thats what you mean