Question

вычислить значение выражения

Answer 1

$\sqrt[3]{49} \times \sqrt[6]{49} = {49}^{ \frac{1}{3} } \times {49}^{ \frac{1}{6} } = {49}^{ \frac{1}{3} + \frac{1}{6} } = {49}^{ \frac{2}{6} + \frac{1}{6} } = {49}^{ \frac{3}{6} } = {49}^{ \frac{1}{2} } = \sqrt{49} = 7$

Answer 2

$\sqrt[3]{49} \times \sqrt[6]{49} = \sqrt[3]{ {7}^{2} } \times \sqrt[6]{ {7}^{2} } = \\ = {7}^{ \frac{2}{3} + \frac{2}{6} } = {7}^{ \frac{2}{3} + \frac{1}{3} } = \\ = {7}^{1} = 7$