Вычислите:
а) $\frac{5^3 * 25^2}{5^8}$;
б) $\frac{2^5 * 8}{4^4}$;
в) $\frac{4^5 * 3^8}{6^9}$.
$\frac{5^3 * 25^2}{5^8} = \frac{5^3 * (5^2)^2}{5^8} = \frac{5^3 * 5^4}{5^8} = \frac{5^7}{5^8} = \frac{1}{5}$
$\frac{2^5 * 8}{4^4} = \frac{2^5 * 2^3}{(2^2)^4} = \frac{2^8}{2^8} = 1$
$\frac{4^5 * 3^8}{6^9} = \frac{(2^2)^5 * 3^8}{2^9 * 3^9} = \frac{2^{10} * 3^8}{2^9 * 3^9} = \frac{2}{3}$.
Пожауйста, оцените решение
