Question

Решить примеры справа

Answer 1

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

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