SOLUTION
The given expression is:
[tex]\frac{(r^{\frac{1}{2}}s^{\frac{5}{7}})^{14}}{r^5}[/tex]
Applying laws of exponents the expression becomes:
[tex]\frac{r^{\frac{1}{2}\times14}s^{\frac{5}{7}\times14}}{r^5}[/tex]
This gives
[tex]\frac{r^7s^{10}}{r^5}[/tex]
This further gives
[tex]r^{7-5}s^{10}=r^2s^{10}[/tex]
Therefore the solution is
[tex]r^2s^{10}[/tex]
