Question

Прошу решите уравнение 26 баллов

Answer 1

$displaystyle a).. frac{(a^{5})^{12}*(a^{8})^{7}}{(a^{16})^{8}*(a^{2})^{10}}=256 \ \ frac{a^{60}*a^{56}}{a^{128}:a^{20}}=2^{8} \ \a^{116-108}=2^{8} \ \ a^{8}=2^{8} \ \ a=2 \ \ b).. frac{(x^{17})^{20}:(x^{42})^{5}*x}{(x^{35})^{4}:(x^{2})^{5}}=1968 \ \ frac{x^{340-210+1}}{x^{140-10}}=1968 \ \ x^{131-130}=1968 \ x=1968 \ \ c).. frac{(y^{51})^{3}:(y^{16})^{3}}{(y^{2})^{61}:(y^{4})^{19}*(y^{29})^{2}}=1993 \ \ frac{y^{153-48}}{y^{122-76+58}}=1993\\y^{105-104}=1993 \ y=1993$
$displaystyle d).. frac{(m^{9})^{22}*(m^{32})^{3}}{(m^{45})^{3}*(m^{3})^{53}:m}=1995 \ \ frac{m^{198+96}}{m^{135+159-1}}= 1995 \ \ frac{1}{m^{-1}}=1995 \ \ m=1995$