Đề bài

Thu gọn mỗi đơn thức sau: a) \(\frac{{ - 9}}{{17}}{x^{23}}{y^{22}}{y^{14}}\) b) \(\frac{2}{{\sqrt {121} }}x{y^3}z{y^2}{z^3}\) c) \(\frac{{ - 187}}{{124}}{x^4}{y^6}{z^8}{x^5}{y^2}{z^{10}}\)

Lời giải chi tiết

a) \(\frac{{ - 9}}{{17}}{x^{23}}{y^{22}}{y^{14}} = \frac{{ - 9}}{{17}}{x^{23}}\left( {{y^{22}}{y^{14}}} \right) = \frac{{ - 9}}{{17}}{x^{23}}{y^{36}}\)b) \(\frac{2}{{\sqrt {121} }}x{y^3}z{y^2}{z^3} = \frac{2}{{11}}x\left( {{y^3}{y^2}} \right)\left( {z.{z^3}} \right) = \frac{2}{{11}}x{y^5}{z^4}\)c) \(\frac{{ - 187}}{{124}}{x^4}{y^6}{z^8}{x^5}{y^2}{z^{10}} = \frac{{ - 187}}{{124}}\left( {{x^4}{x^5}} \right)\left( {{y^6}{y^2}} \right)\left( {{z^8}{z^{10}}} \right) = \frac{{ - 187}}{{124}}{x^9}{y^8}{z^{18}}\)