Question

Find: ${243}^{\frac{2}{5}}$

Answer 1

${243}^{\frac{2}{5}}$

$=\sqrt[5]{5(243{)}^2}$

$=\sqrt[5]{5243\times 243}$

$=\sqrt[5]{59\times 9\times 3\times 9\times 9\times 3}$

$=\sqrt[5]{5(9{)}^5}$

$=9^{5\times \frac{1}{5}}$

$=9$