Question

Найдите значение выражения. 1) 10*5∧3\50∧2 2)(5 6\11+2\3*1 3\4)*66

Answer 1

$\frac{10 * 5^3}{50^2} = \frac{10*5^3}{(10*5)^2} = \frac{10*5^2*5^1}{10*10*5^2} = \frac{1*1*5^1}{1*10*1} = \frac{5}{10}= 0.5 \\ \\ \\$

Выражением:
$(5 \frac{6}{11} + \frac{2}{3} *1 \frac{3}{4} ) * 66 = (\frac{61}{11} + \frac{2}{3} * \frac{7}{4} ) * 66 = ( \frac{61}{11} + \frac{7}{6} ) * 66= \\ \\ =\frac{61}{11}*66 + \frac{7}{6}*66= = 61*6 + 7*11 = 366 +77 = 443$

По действиям:
$(5 \frac{6}{11} + \frac{2}{3} *1 \frac{3}{4} ) * 66 = 443 \\ \\ 1)\frac{2}{3} *1 \frac{3}{4} = \frac{2}{3} * \frac{7}{4} = \frac{1*7}{3*2} = \frac{7}{6} \\ \\ 2)5 \frac{6}{11} + \frac{7}{6} = \frac{61*6 + 7*11}{66} = \frac{366 + 77}{66} = \frac{443}{66} =6 \frac{47}{66} \\ \\ 3) 6 \frac{47}{66} * 66 = \frac{443}{66} * \frac{66}{1} = 443$