Question

Simplify 25^-1/2 ✖ 3root16

Answer 1

Answer:

$= {25}^{ \frac{ - 1}{2} } \times \sqrt[3]{16} \\ = {5}^{ {(2)}^{ (\frac{ - 1}{2}) } } \times {16}^{ \frac{1}{3} } \\ = {5}^{ - 1} \times {2}^{( {4})^{ (\frac{1}{3}) } } \\ = \frac{1}{5} \times {2}^{ (\frac{4}{3}) } \\ = { \frac{ {2}^{ \frac{4}{3} } }{5}} \\ = \frac{ \sqrt[3]{ {2}^{4} } }{5} \\ = \frac{ \sqrt[3]{16} }{5}$