Сократите дробь:
а) $\frac{270a^{10}b^8c^7}{810a^4b^{12}c}$;
б) $\frac{132x^5y^{10}z^{11}}{144x^6y^5z^{22}}$;
в) $\frac{140m^{25}n^{101}r^{64}}{42m^{14}n^{202}r^{61}}$;
г) $\frac{540p^{12}q^{43}t^{54}}{36p^2q^{54}t^{55}}$.
$\frac{270a^{10}b^8c^7}{810a^4b^{12}c} = \frac{270}{810} * \frac{a^{10}}{a^4} * \frac{b^8}{b^{12}} * \frac{c^7}{c} = \frac{1}{3} * \frac{a^{6}}{1} * \frac{1}{b^{4}} * \frac{c^6}{1} = \frac{a^6c^6}{3b^4}$
$\frac{132x^5y^{10}z^{11}}{144x^6y^5z^{22}} = \frac{132}{144} * \frac{x^5}{x^6} * \frac{y^{10}}{y^5} * \frac{z^{11}}{z^{22}} = \frac{11}{12} * \frac{1}{x} * \frac{y^{5}}{1} * \frac{1}{z^{11}} = \frac{11y^5}{12xz^{11}}$
$\frac{140m^{25}n^{101}r^{64}}{42m^{14}n^{202}r^{61}} = \frac{140}{42} * \frac{m^{25}}{m^{14}} * \frac{n^{101}}{n^{202}} * \frac{r^{64}}{r^{61}} = \frac{10}{3} * \frac{m^{11}}{1} * \frac{1}{n^{101}} * \frac{r^{3}}{1} = \frac{10m^{11}r^3}{3n^{101}}$
$\frac{540p^{12}q^{43}t^{54}}{36p^2q^{54}t^{55}} = \frac{540}{36} * \frac{p^{12}}{p^2} * \frac{q^{43}}{q^{54}} * \frac{t^{54}}{t^{55}} = \frac{15}{1} * \frac{p^{10}}{1} * \frac{1}{q^{11}} * \frac{1}{t} = \frac{15p^{10}}{q^{11}t}$
Пожауйста, оцените решение
