Respuesta :

Answer:

[tex]\frac{3}{x}[/tex]

Step-by-step explanation:

[tex]\frac{4^{x+2} - 4^{x} }{5x(2^{2x} } = \frac{4^{2} . 4^{x} - 4^{x} }{4^{x} . 5x }[/tex][tex]= \frac{4^{x} (4^{2} -1) }{4^{x} . 5x } = \frac{16 - 1}{5x}[/tex][tex]=\frac{15}{5x} = \frac{3}{x}[/tex]