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6. ¿Cuánto es \( \frac{n^{8}}{n^{2} n^{5}} \) ? a) 1 b) \( n \) c) \( n^{2} \) d) \( n^{3} \)

Ask by Williams Rose. in Mexico
Mar 15,2025

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La respuesta es \( n \), opción b).

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Al simplificar la expresión \( \frac{n^{8}}{n^{2} n^{5}} \), primero se puede combinar los exponentes en el denominador: \( n^{2} n^{5} = n^{2+5} = n^{7} \). Así que, la expresión se convierte en \( \frac{n^{8}}{n^{7}} \). Aplicando la regla de la división de potencias \( n^{a}/n^{b} = n^{a-b} \), tenemos \( n^{8-7} = n^{1} \), lo que significa que la respuesta es \( n \). La respuesta es b) \( n \).

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