Question

a expressão (-2x³y^5)^10: (4x²y³)^5 é equivalente a

Answer 1

$=\frac{(-2x^3y^5)^{10}}{(4x^2y^3)^5} \\\\= \frac{(-2)^{10}.x^{3.10}.y^{5.10}}{(4)^5.x^{2.5}.y^{3.5}} \\\\= \frac{1024.x^{30}.y^{50}}{1024.x^{10}.y^{15}} \\\\= \frac{x^{30}.y^{50}}{x^{10}.y^{15}}\\\\ = x^{30-10}.y^{50-15} \\\\=x^{20}.y^{35}$

bons estudos!!