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RESOLUCIÓN:
[tex]\sqrt{ \frac{ {40}^{n} + {10}^{n} }{ {20}^{n} + {5}^{n} } } \\ \sqrt{ \frac{ {10}^{n} \times ( {4}^{n} + 1)}{ {5}^{n} \times ( {4}^{n} + 1) } } \\ \sqrt{ \frac{ {10}^{n} }{ {5}^{n} } } \\ \sqrt{ {2}^{n} } \\ {2}^{ \frac{n}{2} }[/tex]
RESPUESTA:
[tex] {2}^{ \frac{n}{2} } [/tex]