Question

Calcule el valor de:​

Answer 1

Respuesta:

$E =\frac{24}{105}$

Explicación:

$E ={[ \frac{ {5}^{ {n}^{2} + 3 } - {5}^{ {n}^{2} + 2} + {5}^{ {n}^{2} + 1 } }{ {5}^{ {n}^{2} + 2 } - {5}^{ {n}^{2} } }]}^{ - 1}$

$E ={[ \frac{ {5}^{ {n}^{2} }. {5}^{3} - {5}^{ {n}^{2}}. {5}^{2} + {5}^{ {n}^{2} } . {5}^{1} }{ {5}^{ {n}^{2}} .{5}^{2} - {5}^{ {n}^{2} } }]}^{ - 1}$

$E ={[ \frac{ {5}^{ {n}^{2} }( {5}^{3} - {5}^{2} + {5}^{1}) }{ {5}^{ {n}^{2}} ({5}^{2} - 1) }]}^{ - 1}$

$E ={[ \frac{( {5}^{3} - {5}^{2} + {5}^{1}) }{({5}^{2} - 1) }]}^{ - 1}$

$E ={[ \frac{(125 - 25 + 5) }{(25 - 1) }]}^{ - 1}$

$E ={[ \frac{100+ 5 }{24 }]}^{ - 1}$

$E ={[ \frac{105 }{24 }]}^{ - 1}$

$E =\frac{24}{105}$