Question

преобразуйте выражение (5a^-2/6b^-1)^-2×10a^3b^4

Answer 1

$ttbigg(cfrac{5a^{-2}}{6b^{-1}}bigg)^{-2}cdot10a^3b^4=bigg(cfrac{6b^{-1}}{5a^{-2}}bigg)^{2}cdot10a^3b^4= cfrac{36b^{-2}}{25a^{-4}}cdot10a^3b^4=\\\= cfrac{36a^4}{5b^2}cdot2a^3b^4=cfrac{72a^7b^2}{5}$