Question

plz ans the above question

Answer 1

(16)¹/⁵ × (2)¹/⁵

=(16×2)¹/⁵
=(32)¹/⁵
=(2⁵)¹/⁵

=2(Ans.)

Answer 2

$\sqrt[5]{16} = {16}^{ \frac{1}{5} } \\ \\ = {2}^{(4)( \frac{1}{5} )} \\ \\ = {2}^{ \frac{4}{5}}$

$\sqrt[5]{2 } = {2}^{ \frac{1}{5} }$

Now,

$\sqrt[5]{16} \times \sqrt[5]{2} = {2}^{ \frac{4}{5} } \times {2}^{ \frac{1}{5} } \\ \\ = {2}^{( \frac{4}{5} + \frac{1}{5}) } \\ \\ = {2}^{( \frac{5}{5}) } \\ \\ = {2}^{1} \\ \\ = 2$