Question

нужно решить В ближайший час!">

Answer 1

$1) \\ \sqrt[3]{27} = \sqrt[3]{ {3}^{3} } = 3 \\ \sqrt[4]{16} = \sqrt[4]{ {2}^{4} } = 2 \\ \sqrt[3]{ - \frac{1}{8} } = \sqrt[3]{ - { \frac{1}{2} }^{3} } = - \frac{1}{2}$

$2) \\ \sqrt[3]{8} - \sqrt[4]{81} = \sqrt[3]{ {2}^{3} } - \sqrt[4]{ {3}^{4} } = 2 - 3 = - 1$

$\sqrt[3]{32 {a}^{6} {b}^{7} } = \sqrt[3]{ {2}^{3} \times {2}^{2} \times {( {a}^{2} )}^{3} \times {( {b}^{2} )}^{3} \times b} = 2 {a}^{2} {b}^{2} \sqrt[3]{4b}$

$\sqrt[3]{81} - {49}^{0.5} \times \sqrt[3]{24} = \sqrt[3]{ {3}^{3} \times 3} - \sqrt{ {7}^{2} } \times \sqrt[3]{ {2}^{3} \times 3} = 3 \sqrt[3]{3} - 7 \times 2 \sqrt[3]{3} = 3 \sqrt[3]{3} - 14 \sqrt[3]{3} = 11 \sqrt[3]{3}$

$\sqrt[3]{4 \sqrt{4 {m}^{6} } } = \sqrt[3]{4 \sqrt{ {2}^{2} {( {m}^{3} )}^{2} } } = \sqrt[3]{4 \times 2 \times {m}^{3} } = \sqrt[3]{ {2}^{3} {m}^{3} } = 2m$