Fracciones y ecuaciones: simplificación, reducción, cálculo de E y series

Apuntes

``` • Subtopic: Simplifying a Mathematical Expression 21 1 factorial $$(\sqrt{16} - \sqrt{54} + \sqrt{250})^3$$ A) 64 B) 128 C) 32 D) 256 E) 16 ``` --- ``` • Subtopic: Reducing a Fraction 13 Reducir: $$N = \frac{2^{n+4} - 2^{n+3}}{2^{n+4}}$$ A) \frac{1}{2} B) \frac{1}{5} C) \frac{1}{3} D) 2 E) 3 ``` --- ``` • Subtopic: Calculating the Value of E 26 Hallar el valor de "E", si: $$E = \frac{4 + 0.5 + 0.3 + 0.25}{4 - 0.5 - 0.3 - 0.25} - 1$$ A) \frac{17}{48} B) \frac{26}{35} C) \frac{15}{23} D) \frac{18}{37} E) \frac{24}{39} A) 75.43 mr B) 76.43 mr C) 77.43 mr D) 78.43 mr E) 79.43 mr ``` --- ``` • Subtopic: Simplifying a Series 24 Simplificar: $$E = \frac{0.1 + 0.2 + 0.3 + \cdots + 0.8}{0.\hat{1} + 0.\hat{2} + 0.\hat{3} + \cdots + 0.\hat{8}}$$ A) \frac{10}{9} B) \frac{1}{3} C) \frac{9}{10} D) 1 E) 2 ```