Номер 43 гдз 8 класс алгебра Муравин Муравина


Номер 43

 

\begin{equation} 1)\frac{am}{an}= \end{equation} \begin{equation} =\frac{a\cdot m}{a\cdot n}=\frac{m}{n}; \end{equation} \begin{equation} 2)\frac{c^{2}d}{d^{2}c}= \end{equation} \begin{equation} =\frac{c\cdot c\cdot d}{d\cdot d\cdot c}=\frac{c}{d}; \end{equation} \begin{equation} 3)\frac{45a^{3}b^{4}}{54a^{6}b^{2}}= \end{equation} \begin{equation} =\frac{9\cdot 5a^{3}b^{2}\cdot b^{2}}{9\cdot 6a^{3}\cdot a^{3}b^{2}}= \end{equation} \begin{equation} =\frac{5b^{2}}{6a^{3}}; \end{equation} \begin{equation} 4)\frac{26a^{2}b^{6}}{65\cdot a^{5}b^{3}}= \end{equation} \begin{equation} =\frac{13\cdot 2\cdot a^{2}b^{3}\cdot b^{3}}{13\cdot 5\cdot a^{2}\cdot a^{3}\cdot b^{3}}= \end{equation} \begin{equation} =\frac{2b^{3}}{5a^{3}}; \end{equation} \begin{equation} 5)\frac{108a^{3}b^{4}c^{7}}{90a\cdot c^{5}b^{8}}= \end{equation} \begin{equation} =\frac{18\cdot 6\cdot a\cdot a^{2}b^{4}\cdot c^{5}\cdot c^{2}}{18\cdot 5\cdot a\cdot c^{5}\cdot b^{4}\cdot b^{4}}= \end{equation} \begin{equation} =\frac{6a^{2}c^{2}}{5b^{4}}; \end{equation} \begin{equation} 6)\frac{252x^{9}y^{15}z^{3}}{315x^{6}y^{20}}= \end{equation} \begin{equation} =\frac{63\cdot 4\cdot x^{6}\cdot x^{3}\cdot y^{15}\cdot z^{3}}{63\cdot 5\cdot x^{6}\cdot y^{15}\cdot y^{5}}= \end{equation} \begin{equation} =\frac{4x^{3}z^{3}}{5y^{5}}. \end{equation}