Step-by-step explanation:
In order to add, subtract, multiply or divide the order of radicals (or Surds) must be equal.
(1) ERROR IN THE SIMPLIFICATION:
Order of radicals are not made equal
(2) CORRECT SOLUTION:
[tex] = \frac{ \sqrt[7]{ {x}^{5} } }{ \sqrt[4]{ {x}^{2} } } \\ \\ = \frac{ \sqrt[7 \times 4]{ {x}^{5 \times 4} } }{ \sqrt[4 \times 7]{ {x}^{2 \times 7} } } \\ \\ = \frac{ \sqrt[28]{ {x}^{20} } }{ \sqrt[28]{ {x}^{14} } } \\ \\ = \sqrt[28]{ \frac{ {x}^{20} }{ {x}^{14} } } \\ \\ = \sqrt[28]{ {x}^{20 - 14} } \\ \\ = \sqrt[28]{ {x}^{6} } [/tex]