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

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