Question

Помогите пж 101: 2;4

Answer 1

101.2)
$\frac{ {x}^{ \frac{1}{3} } \times \sqrt[3]{x} }{ {x}^{ - \frac{4}{3} } } = {x}^{ \frac{5}{3} } \sqrt[3]{x} = {x}^{ \frac{5}{3} } \times {x}^{ \frac{1}{3} } = {x}^{ \frac{6}{3} } = {x}^{2}$

101.4)

$\frac{ {x}^{ \frac{4}{3} }y + x {y}^{ \frac{4}{3} } }{ \sqrt[3]{x} + \sqrt[3]{y} } = \frac{ \sqrt[3]{ {x}^{4} }y + x \sqrt[3]{ {y}^{4} } }{ \sqrt[3]{x} + \sqrt[3]{y} } = \frac{xy \sqrt[3]{x} + xy \sqrt[3]{y} }{ \sqrt[3]{x} + \sqrt[3]{y} } = \frac{xy( \sqrt[3]{x} + \sqrt[3]{y} )}{ \sqrt[3]{x} + \sqrt[3]{y} } = xy$