Emilia está muy contenta porque logró resolver el siguiente cálculo (lleno de números negativos) : LaTeX : \ left( \ frac{5}{2} \ right) ^ {10}?

Resultado : R = 143769598Explicación paso a paso : Esta es la expresión matemática<img src="https://tex.z-dn.net/?f=%5Cleft%28%5Cfrac%7B5%7D%7B2%7D%5Cright%29%5E%7B10%7D.%5Cleft%28%5Cleft%28%5Cfrac%7B5%7D%7B4%7D%5Cright%29%5E5%5Cright%29%5E%7B-2%7D.%2852%29.10%20.%20%28%28%2054%295%29%20-%202" />.

Vamos a resolver primero las expresiones de multiplicación : <img src="https://tex.z-dn.net/?f=%5Cleft%28%5Cfrac%7B5%7D%7B2%7D%5Cright%29%5E%7B10%7D.%5Cleft%28%5Cleft%28%5Cfrac%7B5%7D%7B4%7D%5Cright%29%5E5%5Cright%29%5E%7B-2%7D%20%28%20520%2A270%20%29%20-%202%5C%5C%5Cleft%28%5Cfrac%7B5%7D%7B2%7D%5Cright%29%5E%7B10%7D.%5Cleft%28%5Cleft%28%5Cfrac%7B5%7D%7B4%7D%5Cright%29%5E5%5Cright%29%5E%7B-2%7D%20%28140400%29%20-%202" />Ahora resolvemos las potencias : <img src="https://tex.z-dn.net/?f=%5Cleft%289536.7431640625%5Cright%29.%5Cleft%28%5Cleft%28%5Cfrac%7B5%7D%7B4%7D%5Cright%29%5E5%5Cright%29%5E%7B-2%7D%20%28%20140400%20%29%20-%202%5C%5C%5Cleft%289536%2C7431640625%5Cright%29.%5Cleft%283%2C0517578125%5Cright%29%5E%7B-2%7D.%28%20140400%20%29%20-%202%5C%5C%5Cleft%289536%2C7431640625%5Cright%29.%5Cleft%280%2C1073741824%5Cright%29.%28%20140400%20%29%20-%202" />Multiplicamos nuevamente : <img src="https://tex.z-dn.net/?f=%3D%5Cleft%289536.7431640625%5Cright%29.%5Cleft%280%2C1073741824%5Cright%29.%28%20140400%20%29%20-%202%5C%5C%3D143769600-2%5C%5C%3D143769598" />.