Answer:
the extra big numbers can be written easily by the scientific notation
For this case we must indicate an expression equivalent to:
![x ^ {- \frac {5} {3}}](https://tex.z-dn.net/?f=x%20%5E%20%7B-%20%5Cfrac%20%7B5%7D%20%7B3%7D%7D)
By definition of power properties we have to:
![a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}](https://tex.z-dn.net/?f=a%20%5E%20%7B-%201%7D%20%3D%20%5Cfrac%20%7B1%7D%20%7Ba%20%5E%201%7D%20%3D%20%5Cfrac%20%7B1%7D%20%7Ba%7D)
Then, we can rewrite the expression as:
![\frac {1} {x ^ {\frac {5} {3}}}](https://tex.z-dn.net/?f=%5Cfrac%20%7B1%7D%20%7Bx%20%5E%20%7B%5Cfrac%20%7B5%7D%20%7B3%7D%7D%7D)
We also have that by definition of properties of powers it is fulfilled that:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
Then, the expression is like:
![\frac {1} {\sqrt [3] {x ^ 5}}](https://tex.z-dn.net/?f=%5Cfrac%20%7B1%7D%20%7B%5Csqrt%20%5B3%5D%20%7Bx%20%5E%205%7D%7D)
ANswer:
Option B