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$( \frac{1}{2}- \frac{1}{3} )^{2} : ( \frac{1}{3}- \frac{1}{4} )^{2}* ( \frac{1}{2} )^{3}=( ( \frac{1}{2})^{2} - ( \frac{1}{3} )^{2} )^{2} : ( ( \frac{1}{3} )^{2} - ( \frac{1}{4} )^{2} )^{2}* \frac{1}{8}= \\ = ( \frac{1}{4} - \frac{1}{9} )^{2} : ( \frac{1}{9}- \frac{1}{16} )^{2} * \frac{1}{8} =( \frac{1}{16} - \frac{2}{36}+ \frac{1}{81}):( \frac{1}{81} - \frac{2}{144} + \frac{1}{256}) * \frac{1}{8}= \\ =( \frac{1}{16}: \frac{1}{81}- \frac{1}{16}: \frac{1}{72} + \frac{1}{16}:[tex] \frac{1}{81}: \frac{1}{81} + \frac{1}{81} : \frac{1}{72}- \frac{1}{18}: \frac{1}{256}+ \frac{1}{81}: \frac{1}{81}- \frac{1}{81} : \frac{1}{72} + \frac{1}{81} : \frac{1}{256})* \frac{1}{8} = \\ =( \frac{81}{16}- \frac{72}{16} +[tex] \frac{1}{256}-$ \frac{256}{16} -1+ \frac{72}{81} - \frac{256}{18} +1- \frac{72}{81} + \frac{256}{81})* \frac{1}{8} =\frac{265}{16} * \frac{1}{8} = \\ =\frac{265}{128} =2 \frac{9}{128} [/tex]