Question

HEYA FRIENDS!!!! plzz help me
$\sqrt[5]{16} \times \sqrt[5]{2}$
what will be the answer??
explain me...

Answer 1

$\sqrt[5]{16} \times \sqrt[5]{2} \\ = \sqrt[5]{16 \times 2} \\ = \sqrt[5]{32} \\ = \sqrt[5]{2 \times 2 \times 2 \times 2 \times 2} \\ = 2$
here is your answer

Answer 2

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