Respuesta :

Nayefx

Answer:

[tex] \boxed{ \boxed{{x}^{2n- 1} . {y}^{2n - 1} }}[/tex]

Step-by-step explanation:

to understand this

you need to know about:

  • law of exponent
  • PEMDAS

tips and formulas:

  • [tex] \frac{ {x}^{m} }{ {x}^{n} } < = > {x}^{m - n} [/tex]

let's solve:

  1. [tex] \sf use \: the \: formula : \\ \tt \frac{ {x}^{2n + 4}. {y}^{4n} }{ {x}^{5} . {y}^{2n + 1} } \\ \tt {x}^{2n + 4 - 5} . {y}^{4n - 2x - 1} [/tex]
  2. [tex] \sf simplify \: subtraction : \\ \tt {x}^{2n- 1} . {y}^{2n - 1} [/tex]