Question

Решить примеры справа

Answer 1

$\displaystyle\tt \bigg(-1\frac{5}{7}a^3b^4\bigg)\cdot(0.7a^4b^8)=-\frac{12}{7}\cdot\frac{7}{10}\cdot a^{3+4}\cdot b^{4+8}=-1.2a^7b^{12}\\\\\\ \bigg(-\frac{1}{4}x^2y\bigg)\bigg(1\frac{1}{7}xy^3\bigg)=-\frac{1}{4}\cdot\frac{8}{7}\cdot x^{2+1}\cdot y^{1+3}=-\frac{2}{7}x^3y^4\\\\\\ (4a^2b^2)\bigg(-\frac{1}{2}ab^3\bigg)^3=(4a^2b^2)\bigg(-\frac{1}{8}a^3b^9\bigg)=4\cdot\bigg(-\frac{1}{8}\bigg)\cdot a^{5}\cdot b^{11}=-\frac{1}{2}a^5b^{11}$

$\displaystyle\tt\frac{3^3\cdot(3^5)^6}{(3^6)^6} =\frac{3^3\cdot3^{5\cdot6}}{3^{6\cdot6}} =\frac{3^3\cdot3^{30}}{3^{36}} =\frac{3^{33}}{3^{36}} =\frac{1}{3^{3}} =\frac{1}{27}$