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2^1/3×(-1)/2. × 1/root2
2^1/3×-1/2. ×1/root2
2^(-1)/6. × 1/root 2
thus answer is.. 1/2^1/6. ×1/root2
or. 1/2root2^1/6☺✌☺
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Pickachu V :)
![\sqrt[3]{ {8}^{ - \frac{1}{2} } } \times { ( \sqrt{2} )}^{ - 1} \\](https://tex.z-dn.net/?f=+%5Csqrt%5B3%5D%7B+%7B8%7D%5E%7B+-++%5Cfrac%7B1%7D%7B2%7D+%7D+%7D++%5Ctimes+%7B+%28+%5Csqrt%7B2%7D+%29%7D%5E%7B+-+1%7D++%5C%5C+ "\sqrt[3]{ {8}^{ - \frac{1}{2} } } \times { ( \sqrt{2} )}^{ - 1} \\")
which could also be written as:
![\sqrt[3]{ {2}^{(3 \times (\frac{ - 1}{2} ))} } \times {2}^{ ( - 1)( \frac{1}{2}) } \\ \\ = {2}^{( \frac{( - 3)}{2} \times \frac{1}{3} )} \times {2}^{ (\frac{ - 1}{2}) } \\ \\ = {2}^{ (\frac{ - 1}{2}) } \times {2}^{( \frac{ - 1}{2} )} \\ = {2}^{( \frac{ - 1}{2} + \frac{ - 1}{2} )} \\ = {2}^{ - 1} \\ \\ = \frac{1}{2}](https://tex.z-dn.net/?f=+%5Csqrt%5B3%5D%7B+%7B2%7D%5E%7B%283+%5Ctimes++%28%5Cfrac%7B+-+1%7D%7B2%7D+%29%29%7D+%7D++%5Ctimes++%7B2%7D%5E%7B+%28+-+1%29%28+%5Cfrac%7B1%7D%7B2%7D%29+%7D++%5C%5C++%5C%5C++%3D++++%7B2%7D%5E%7B%28+%5Cfrac%7B%28+-+3%29%7D%7B2%7D++%5Ctimes++%5Cfrac%7B1%7D%7B3%7D+%29%7D++%5Ctimes++%7B2%7D%5E%7B+%28%5Cfrac%7B+-+1%7D%7B2%7D%29+%7D++%5C%5C++%5C%5C++%3D++%7B2%7D%5E%7B+%28%5Cfrac%7B+-+1%7D%7B2%7D%29+%7D++%5Ctimes++%7B2%7D%5E%7B%28+%5Cfrac%7B+-+1%7D%7B2%7D+%29%7D++%5C%5C++%3D++%7B2%7D%5E%7B%28+%5Cfrac%7B+-+1%7D%7B2%7D+%2B++%5Cfrac%7B+-+1%7D%7B2%7D++%29%7D++%5C%5C++%3D++%7B2%7D%5E%7B+-+1%7D++%5C%5C++%5C%5C++%3D++%5Cfrac%7B1%7D%7B2%7D+ "\sqrt[3]{ {2}^{(3 \times (\frac{ - 1}{2} ))} } \times {2}^{ ( - 1)( \frac{1}{2}) } \\ \\ = {2}^{( \frac{( - 3)}{2} \times \frac{1}{3} )} \times {2}^{ (\frac{ - 1}{2}) } \\ \\ = {2}^{ (\frac{ - 1}{2}) } \times {2}^{( \frac{ - 1}{2} )} \\ = {2}^{( \frac{ - 1}{2} + \frac{ - 1}{2} )} \\ = {2}^{ - 1} \\ \\ = \frac{1}{2}")
which could also be written as:
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