Question

Evaluate the question in the picture

Answer 1

$\frac{ {2}^{ \frac{1}{3} } \times {( {2}^{2} )}^{ \frac{2}{3} } }{ {( {2}^{7}) }^{ \frac{1}{3} } } \\ = \frac{ {2}^{ \frac{1}{3} + \frac{4}{3} } }{ {2}^{ \frac{7}{3} } } \\ = \frac{ {2}^{ \frac{5}{3} } }{ {2}^{ \frac{7}{3} } } \\ = {2}^{ \frac{5}{3} - \frac{7}{3} } \\ = {2}^{ \frac{5 - 7}{3} } \\ = {2}^{ \frac{ - 2}{3} } \\ = {2}^{ - 2} \times {2}^{ \frac{1}{3} } \\ = \frac{ \sqrt[3]{2} }{4}$

Answer 2

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