Question

Solve $\sqrt[4]{412}\times \sqrt[7]{76}$

Answer 1

$\begin{array}{c}{\left(12\right)}^{\frac{1}{4}}\times {\left(6\right)}^{\frac{1}{7}}={\left(2^2\times 3\right)}^{\frac{1}{4}}\times {\left(2\times 3\right)}^{\frac{1}{7}}=2^{\frac{1}{2}}\times 3^{\frac{1}{4}}\times 2^{\frac{1}{7}}\times 3^{\frac{1}{7}}=2^{\frac{1}{2}+\frac{1}{7}}\times 3^{\frac{1}{4}+\frac{1}{7}}=2^{\frac{9}{14}}\times 3^{\frac{11}{28}}\end{array}$''