Question

найдите значение выражения
$\frac{20 {}^{47} }{5 {}^{48} \times 2 {}^{93} }$

Answer 1

20 = 4·5 = 2²·5

20⁴⁷ = (2²·5)⁴⁷ = (2²)⁴⁷· 5⁴⁷ = 2⁹⁴·5⁴⁷

$\frac{20^{47}}{5^{48}\cdot 2^{93}}= \frac{2^{94}\cdot5^{47}}{5^{48}\cdot 2^{93}}= \frac{2}{5}$