Question

Решить (1/2-1/3)³ : (1/3-1/4)² * (3/2)² расписать решение (подробно)

Answer 1

$( \frac{1}{2}- \frac{1}{3} )^{3} : ( \frac{1}{3}- \frac{1}{4} )^{2} * ( \frac{3}{2} )^{2} = ( \frac{3-2}{6} )^{3} : ( \frac{4-3}{12} )^{2} * ( \frac{3}{2} )^{2} = ( \frac{1}{6} )^{3} : ( \frac{1}{12} )^{2} * ( \frac{3}{2} )^{2}$ =$\frac{1}{216} : \frac{1}{144} * \frac{9}{4} = \frac{1}{216} * \frac{144}{1} * \frac{9}{4} = \frac{2}{3} * \frac{9}{4} = \frac{18}{12} = \frac{3}{2} =1.5$