Замените символ * степенью с основанием г так, чтобы выполнялось равенство:
а) $r^3 ⋅ * = r^{11}$;
б) $* ⋅ r^{14} = r^{15}$;
в) $r^{15} ⋅ * ⋅ r^{18} = r^{43}$;
г) $* ⋅ r^{21} ⋅ r^{11} = r^{40}$.
$r^3 ⋅ * = r^{11}$
$* = r^{11 - 3}$
$* = r^{8}$
$r^3 ⋅ r^{8} = r^{11}$
$* ⋅ r^{14} = r^{15}$
$* = r^{15 - 14}$
$* = r^{1} = r$
$r ⋅ r^{14} = r^{15}$
$r^{15} ⋅ * ⋅ r^{18} = r^{43}$
$* = r^{43 - 18 - 15}$
$* = r^{25 - 15}$
$* = r^{10}$
$r^{15} ⋅ r^{10} ⋅ r^{18} = r^{43}$
$* ⋅ r^{21} ⋅ r^{11} = r^{40}$
$* = r^{40 - 21 - 11}$
$* = r^{19 - 11}$
$* = r^{8}$
$r^{8} ⋅ r^{21} ⋅ r^{11} = r^{40}$
Пожауйста, оцените решение
