Вычислите:
а) $\frac{2^{12} - 2^9}{7 * 2^8}$;
б) $\frac{2 * 5^{10} - 5^{11}}{6 * 5^{11}}$;
в) $\frac{3^{12} + 3^{10}}{3^8}$;
г) $\frac{5^8 + 5^6}{2 * 5^7}$.
$\frac{2^{12} - 2^9}{7 * 2^8} = \frac{2^9(2^3 - 1)}{7 * 2^8} = \frac{2^9(8 - 1)}{7 * 2^8} = \frac{2^9 * 7}{7 * 2^8} = 2$
$\frac{2 * 5^{10} - 5^{11}}{6 * 5^{11}} = \frac{5^{10}(2 - 5)}{6 * 5^{11}} = \frac{5^{10} * (-3)}{6 * 5^{11}} = -\frac{1}{2 * 5} = -\frac{1}{10}$
$\frac{3^{12} + 3^{10}}{3^8} = \frac{3^10(3^2 + 1)}{3^8} = 3^2 * (9 + 1) = 9 * 10 = 90$
$\frac{5^8 + 5^6}{2 * 5^7} = \frac{5^6(5^2 + 1)}{2 * 5^7} = \frac{5^2 + 1}{2 * 5} = \frac{25 + 1}{10} = \frac{26}{10} = \frac{13}{5} = 2\frac{3}{5}$
Пожауйста, оцените решение
