Question

Помогите с номером 7 ! во вложении!

Answer 1

$\sqrt[4]{a^6b^7} : \sqrt[4]{a^2b^3}= \sqrt[4]{ \frac{a^6b^7}{a^2b^3} } = \sqrt[4]{a^4b^4} =ab$
$\sqrt[3]{16x^5y^2} : \sqrt[3]{2x^2y^2} = \sqrt[3]{ \frac{16x^5y^2}{2x^2y^2} } = \sqrt[3]{8x^3} =2x$
$\sqrt[5]{ \frac{64x^2}{y^3} } : \sqrt[5]{ \frac{2y^2}{x^3} } = \sqrt[5]{ \frac{64x^2x^3}{2y^3y^2} } = \sqrt[5]{ \frac{32x^5}{y^5} } = \frac{2x}{y}$
$\sqrt[4]{ \frac{2b^2}{a^3} } : \sqrt[4]{ \frac{a}{8b^2} } = \sqrt[4]{ \frac{2b^2*8b^2}{a^3*a} } = \frac{2b}{a}$
$\sqrt[3]{ \frac{8x^2}{y^3} } : \sqrt[3]{ \frac{y^3}{x} } = \sqrt[3]{ \frac{8x^2*x}{y^3*y^3} } = \frac{2x}{y^2}$