Question

answer to question 8

Answer 1

$\sqrt[4]{ \sqrt[3]{ {2}^{2} } } \\ \\ \sqrt[3]{ {2}^{2} }$
can be written as
${2}^{ \frac{2}{3} }$
hence,
$\sqrt[4]{ \sqrt[3]{ {2}^{2} } } \\ = \sqrt[4]{ {2}^{ \frac{2}{3} } }$
again
$\sqrt[4]{ {2}^{ \frac{2}{3} } }$
can be written as
$( {2}^{ \frac{2}{3} } ) {}^{ \frac{1}{4} } \\ = > {2}^{ \frac{2}{3} \times \frac{1}{4} } \\ = {2}^{ \frac{1}{6} } \\ = \sqrt[6]{2}$
Hope it helps dear friend ☺️✌️✌️

Answer 2

answer will be (2)^1/6...